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100111112002 = 21127114394049
BaseRepresentation
bin101110100111100010…
…1100101011101000010
3100120101220201102021001
41131033011211131002
53120011421041002
6113553532322214
710142563261126
oct1351705453502
9316356642231
10100111112002
1139503127200
121749b01336a
139595843ca5
144bb9b05586
15290dd86a87
hex174f165742

100111112002 has 48 divisors (see below), whose sum is σ = 167541696000. Its totient is φ = 44821884800.

The previous prime is 100111111993. The next prime is 100111112009. The reversal of 100111112002 is 200211111001.

It is a self number, because there is not a number n which added to its sum of digits gives 100111112002.

It is not an unprimeable number, because it can be changed into a prime (100111112009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24722874 + ... + 24726922.

It is an arithmetic number, because the mean of its divisors is an integer number (3490452000).

Almost surely, 2100111112002 is an apocalyptic number.

100111112002 is a deficient number, since it is larger than the sum of its proper divisors (67430583998).

100111112002 is a wasteful number, since it uses less digits than its factorization.

100111112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111112002 its reverse (200211111001), we get a palindrome (300322223003).

The spelling of 100111112002 in words is "one hundred billion, one hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 11 22 71 121 142 242 781 1439 1562 2878 4049 8098 8591 15829 17182 31658 44539 89078 102169 174119 204338 287479 348238 489929 574958 979858 1123859 2247718 3162269 5826511 6324538 11653022 12362449 24724898 34784959 64091621 69569918 128183242 413682281 705007831 827364562 1410015662 4550505091 9101010182 50055556001 100111112002