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103212011122320 = 243533111579112207
BaseRepresentation
bin10111011101111011101011…
…010000100110111010010000
3111112102222020111220201112110
4113131323223100212322100
5102012011144321403240
61003302535432225320
730511551565202562
oct2735735320467220
9445388214821473
10103212011122320
112a982a71602021
12b6ab21983b240
134578b0a522189
141b6b6b90a1332
15bdebabba3c80
hex5ddeeb426e90

103212011122320 has 160 divisors (see below), whose sum is σ = 320954449029120. Its totient is φ = 27437436956160.

The previous prime is 103212011122309. The next prime is 103212011122331. The reversal of 103212011122320 is 23221110212301.

It is an interprime number because it is at equal distance from previous prime (103212011122309) and next prime (103212011122331).

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, 919779657 + ... + 919891863.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965306432).

Almost surely, 2103212011122320 is an apocalyptic number.

103212011122320 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 103212011122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477224514560).

103212011122320 is an abundant number, since it is smaller than the sum of its proper divisors (217742437906800).

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

103212011122320 is a wasteful number, since it uses less digits than its factorization.

103212011122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124133 (or 124127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 103212011122320 its reverse (23221110212301), we get a palindrome (126433121334621).

The spelling of 103212011122320 in words is "one hundred three trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 11579 13240 15888 19860 23158 26480 34737 39720 46316 57895 69474 79440 92632 112207 115790 138948 173685 185264 224414 231580 277896 336621 347370 448828 463160 555792 561035 673242 694740 897656 926320 1122070 1346484 1389480 1683105 1795312 2244140 2692968 2778960 3366210 3832649 4488280 5385936 6732420 7665298 8976560 11497947 13464840 15330596 19163245 22995894 26929680 30661192 37140517 38326490 45991788 57489735 61322384 74281034 76652980 91983576 111421551 114979470 148562068 153305960 183967152 185702585 222843102 229958940 297124136 306611920 371405170 445686204 459917880 557107755 594248272 742810340 891372408 919835760 1114215510 1299244853 1485620680 1782744816 2228431020 2598489706 2971241360 3897734559 4456862040 5196979412 6496224265 7795469118 8913724080 10393958824 12992448530 15590938236 19488672795 20787917648 25984897060 31181876472 38977345590 51969794120 62363752944 77954691180 103939588240 155909382360 311818764720 430050046343 860100092686 1290150139029 1720200185372 2150250231715 2580300278058 3440400370744 4300500463430 5160600556116 6450750695145 6880800741488 8601000926860 10321201112232 12901501390290 17202001853720 20642402224464 25803002780580 34404003707440 51606005561160 103212011122320