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103223203223120 = 24543711307323359
BaseRepresentation
bin10111011110000110000110…
…010111000101011001010000
3111112111001010111211100112022
4113132012012113011121100
5102012202110011114440
61003312030201551012
730512426126403221
oct2736060627053120
9445431114740468
10103223203223120
112a987795218002
12b6b1421aa5468
134579ba2199526
141b6c05b699248
15be011453bcb5
hex5de1865c5650

103223203223120 has 160 divisors (see below), whose sum is σ = 249225317130240. Its totient is φ = 39730505955840.

The previous prime is 103223203223117. The next prime is 103223203223131. The reversal of 103223203223120 is 21322302322301.

It is a self number, because there is not a number n which added to its sum of digits gives 103223203223120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319060001 + ... + 319383359.

It is an arithmetic number, because the mean of its divisors is an integer number (1557658232064).

Almost surely, 2103223203223120 is an apocalyptic number.

103223203223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103223203223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124612658565120).

103223203223120 is an abundant number, since it is smaller than the sum of its proper divisors (146002113907120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103223203223120 is a wasteful number, since it uses less digits than its factorization.

103223203223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324793 (or 324787 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 103223203223120 its reverse (21322302322301), we get a palindrome (124545505545421).

The spelling of 103223203223120 in words is "one hundred three trillion, two hundred twenty-three billion, two hundred three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 71 80 86 142 172 215 284 344 355 430 568 688 710 860 1136 1307 1420 1720 2614 2840 3053 3440 5228 5680 6106 6535 10456 12212 13070 15265 20912 24424 26140 30530 48848 52280 56201 61060 92797 104560 112402 122120 185594 224804 244240 281005 323359 371188 449608 463985 562010 646718 742376 899216 927970 1124020 1293436 1484752 1616795 1855940 2248040 2586872 3233590 3711880 3990271 4496080 5173744 6467180 7423760 7980542 12934360 13904437 15961084 19951355 22958489 25868720 27808874 31922168 39902710 45916978 55617748 63844336 69522185 79805420 91833956 111235496 114792445 139044370 159610840 183667912 222470992 229584890 278088740 319221680 367335824 422630213 459169780 556177480 845260426 918339560 987215027 1112354960 1690520852 1836679120 1974430054 2113151065 3381041704 3948860108 4226302130 4936075135 6762083408 7897720216 8452604260 9872150270 15795440432 16905208520 18173099159 19744300540 30006745123 33810417040 36346198318 39488601080 60013490246 72692396636 78977202160 90865495795 120026980492 145384793272 150033725615 181730991590 240053960984 290769586544 300067451230 363461983180 480107921968 600134902460 726923966360 1200269804920 1290290040289 1453847932720 2400539609840 2580580080578 5161160161156 6451450201445 10322320322312 12902900402890 20644640644624 25805800805780 51611601611560 103223203223120