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111100200002001 = 32725340151118387
BaseRepresentation
bin11001010000101110000111…
…111101001010000111010001
3112120101002000221221201000100
4121100232013331022013101
5104030231202200031001
61032142421032043013
732254503345320400
oct3120560775120721
9476332027851010
10111100200002001
113244436a5856a1
1210563b68233469
1349cb91c6348c2
141d613c7bcb637
15cc9e87a1d586
hex650b87f4a1d1

111100200002001 has 72 divisors (see below), whose sum is σ = 190207148249664. Its totient is φ = 62285905281600.

The previous prime is 111100200001993. The next prime is 111100200002093. The reversal of 111100200002001 is 100200002001111.

It is a happy number.

It is not a de Polignac number, because 111100200002001 - 23 = 111100200001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111100200002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 938390130 + ... + 938508516.

It is an arithmetic number, because the mean of its divisors is an integer number (2641765947912).

Almost surely, 2111100200002001 is an apocalyptic number.

It is an amenable number.

111100200002001 is a deficient number, since it is larger than the sum of its proper divisors (79106948247663).

111100200002001 is a wasteful number, since it uses less digits than its factorization.

111100200002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158611 (or 158601 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111100200002001 its reverse (100200002001111), we get a palindrome (211300202003112).

It can be divided in two parts, 111 and 100200002001, that multiplied together give a palindrome (11122200222111).

The spelling of 111100200002001 in words is "one hundred eleven trillion, one hundred billion, two hundred million, two thousand, one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 3339 7791 23373 40151 118387 120453 281057 355161 361359 828709 843171 1065483 1967399 2128003 2486127 2529513 5800963 5902197 6274511 6384009 7458381 14896021 17402889 17706591 18823533 19152027 43921577 44688063 52208667 56470599 104272147 131764731 134064189 307451039 312816441 395294193 922353117 938449323 2767059351 4753356437 14260069311 33273495059 42780207933 99820485177 232914465413 251927891161 299461455531 698743396239 755783673483 1763495238127 2096230188717 2267351020449 5290485714381 12344466666889 15871457143143 37033400000667 111100200002001