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102000203132201 = 11172941967366701
BaseRepresentation
bin10111001100010011000101…
…110111111110110100101001
3111101011010100112101120020122
4113030103011313332310221
5101332132404000212301
61000534125121333025
730325162056221423
oct2714230567766451
9441133315346218
10102000203132201
112a55605258a210
12b5343a5797175
1344bb7687c018a
141b28b9c65b813
15bbd3d552481b
hex5cc4c5dfed29

102000203132201 has 64 divisors (see below), whose sum is σ = 122355373996800. Its totient is φ = 83936219136000.

The previous prime is 102000203132161. The next prime is 102000203132221. The reversal of 102000203132201 is 102231302000201.

It is a de Polignac number, because none of the positive numbers 2k-102000203132201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102000203132201.

It is not an unprimeable number, because it can be changed into a prime (102000203132221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529182151 + ... + 1529248851.

It is an arithmetic number, because the mean of its divisors is an integer number (1911802718700).

Almost surely, 2102000203132201 is an apocalyptic number.

102000203132201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102000203132201 is a deficient number, since it is larger than the sum of its proper divisors (20355170864599).

102000203132201 is a wasteful number, since it uses less digits than its factorization.

102000203132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67850.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102000203132201 its reverse (102231302000201), we get a palindrome (204231505132402).

The spelling of 102000203132201 in words is "one hundred two trillion, two hundred three million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 11 17 29 187 319 419 493 673 4609 5423 7123 7403 11441 12151 19517 66701 78353 125851 133661 206567 214687 281987 331789 733711 1133917 1934329 2272237 3101857 3649679 4793779 8177623 12473087 21277619 27947719 32883593 44889773 52731569 89953853 139019591 307424909 361719523 475111223 493787503 763126141 810483851 1301803417 1529215501 5226223453 8394387551 8915322361 13778225467 14319837587 18808814887 22130658089 151560480137 206896963757 243437238979 319749853079 545455631723 3517248383869 6000011948953 9272745739291 102000203132201