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102201001320 = 233511113685177
BaseRepresentation
bin101111100101110100…
…1111000010101101000
3100202210120012210110010
41133023221320111220
53133301424020240
6114541150051520
710245431114655
oct1371351702550
9322716183403
10102201001320
113a385889a60
1217982aa9ba0
139839801aa2
144d374bcc2c
1529d25a3280
hex17cba78568

102201001320 has 128 divisors (see below), whose sum is σ = 337436461440. Its totient is φ = 24556707840.

The previous prime is 102201001307. The next prime is 102201001321. The reversal of 102201001320 is 23100102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102201001296 and 102201001305.

It is not an unprimeable number, because it can be changed into a prime (102201001321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193429 + ... + 491748.

It is an arithmetic number, because the mean of its divisors is an integer number (2636222355).

Almost surely, 2102201001320 is an apocalyptic number.

102201001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201001320 is an abundant number, since it is smaller than the sum of its proper divisors (235235460120).

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

102201001320 is a wasteful number, since it uses less digits than its factorization.

102201001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685315 (or 685311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102201001320 its reverse (23100102201), we get a palindrome (125301103521).

The spelling of 102201001320 in words is "one hundred two billion, two hundred one million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 132 165 220 226 264 330 339 440 452 565 660 678 904 1130 1243 1320 1356 1695 2260 2486 2712 3390 3729 4520 4972 6215 6780 7458 9944 12430 13560 14916 18645 24860 29832 37290 49720 74580 149160 685177 1370354 2055531 2740708 3425885 4111062 5481416 6851770 7536947 8222124 10277655 13703540 15073894 16444248 20555310 22610841 27407080 30147788 37684735 41110620 45221682 60295576 75369470 77425001 82221240 90443364 113054205 150738940 154850002 180886728 226108410 232275003 301477880 309700004 387125005 452216820 464550006 619400008 774250010 851675011 904433640 929100012 1161375015 1548500020 1703350022 1858200024 2322750030 2555025033 3097000040 3406700044 4258375055 4645500060 5110050066 6813400088 8516750110 9291000120 10220100132 12775125165 17033500220 20440200264 25550250330 34067000440 51100500660 102201001320