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103213230320 = 24519533673491
BaseRepresentation
bin110000000011111111…
…1001110100011110000
3100212102002220100121002
41200013333032203300
53142340041332240
6115225425421132
710312501660634
oct1400777164360
9325362810532
10103213230320
113a8551a5652
1218005a9a7a8
13996b431265
144dd1ad0dc4
152a4139cd15
hex1807fce8f0

103213230320 has 160 divisors (see below), whose sum is σ = 258142049280. Its totient is φ = 38258887680.

The previous prime is 103213230277. The next prime is 103213230331. The reversal of 103213230320 is 23032312301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103213230292 and 103213230301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29563775 + ... + 29567265.

It is an arithmetic number, because the mean of its divisors is an integer number (1613387808).

Almost surely, 2103213230320 is an apocalyptic number.

103213230320 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 103213230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129071024640).

103213230320 is an abundant number, since it is smaller than the sum of its proper divisors (154928818960).

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

103213230320 is a wasteful number, since it uses less digits than its factorization.

103213230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103213230320 its reverse (23032312301), we get a palindrome (126245542621).

The spelling of 103213230320 in words is "one hundred three billion, two hundred thirteen million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 367 380 424 530 734 760 848 1007 1060 1468 1520 1835 2014 2120 2936 3491 3670 4028 4240 5035 5872 6973 6982 7340 8056 10070 13946 13964 14680 16112 17455 19451 20140 27892 27928 29360 34865 34910 38902 40280 55784 55856 66329 69730 69820 77804 80560 97255 111568 132658 139460 139640 155608 185023 194510 265316 278920 279280 311216 331645 369569 370046 389020 530632 557840 663290 739138 740092 778040 925115 1061264 1281197 1326580 1478276 1480184 1556080 1847845 1850230 2562394 2653160 2956552 2960368 3515437 3695690 3700460 5124788 5306320 5913104 6405985 7030874 7391380 7400920 10249576 12811970 14061748 14782760 14801840 17577185 20499152 24342743 25623940 28123496 29565520 35154370 48685486 51247880 56246992 67903441 70308740 97370972 102495760 121713715 135806882 140617480 194741944 243427430 271613764 281234960 339517205 389483888 486854860 543227528 679034410 973709720 1086455056 1290165379 1358068820 1947419440 2580330758 2716137640 5160661516 5432275280 6450826895 10321323032 12901653790 20642646064 25803307580 51606615160 103213230320