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102001232030100 = 2235213178914619431
BaseRepresentation
bin10111001100010100000011…
…001100111010100110010100
3111101011020000020102222211020
4113030110003030322212110
5101332142010344430400
61000534415154241140
730325226421550644
oct2714240314724624
9441136006388736
10102001232030100
112a556530350457
12b5346322861b0
1344bb8a0a077c0
141b28c5916c524
15bbd445a132a0
hex5cc50333a994

102001232030100 has 144 divisors (see below), whose sum is σ = 318003054418560. Its totient is φ = 25093959206400.

The previous prime is 102001232030051. The next prime is 102001232030141. The reversal of 102001232030100 is 1030232100201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001232030100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332616 + ... + 14286815.

Almost surely, 2102001232030100 is an apocalyptic number.

102001232030100 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 102001232030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159001527209280).

102001232030100 is an abundant number, since it is smaller than the sum of its proper divisors (216001822388460).

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

102001232030100 is a wasteful number, since it uses less digits than its factorization.

102001232030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14621250 (or 14621243 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102001232030100 its reverse (1030232100201), we get a palindrome (103031464130301).

The spelling of 102001232030100 in words is "one hundred two trillion, one billion, two hundred thirty-two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1789 1950 3578 3900 5367 7156 8945 10734 17890 21468 23257 26835 35780 44725 46514 53670 69771 89450 93028 107340 116285 134175 139542 178900 232570 268350 279084 348855 465140 536700 581425 697710 1162850 1395420 1744275 2325700 3488550 6977100 14619431 29238862 43858293 58477724 73097155 87716586 146194310 175433172 190052603 219291465 292388620 365485775 380105206 438582930 570157809 730971550 760210412 877165860 950263015 1096457325 1140315618 1461943100 1900526030 2192914650 2280631236 2850789045 3801052060 4385829300 4751315075 5701578090 9502630150 11403156180 14253945225 19005260300 26154162059 28507890450 52308324118 57015780900 78462486177 104616648236 130770810295 156924972354 261541620590 313849944708 340004106767 392312430885 523083241180 653854051475 680008213534 784624861770 1020012320301 1307708102950 1360016427068 1569249723540 1700020533835 1961562154425 2040024640602 2615416205900 3400041067670 3923124308850 4080049281204 5100061601505 6800082135340 7846248617700 8500102669175 10200123203010 17000205338350 20400246406020 25500308007525 34000410676700 51000616015050 102001232030100