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100201111002 = 232127211293709
BaseRepresentation
bin101110101010001110…
…0111001110111011010
3100120122012001211200100
41131110130321313122
53120202441023002
6114010505320230
710145035250646
oct1352434716732
9316565054610
10100201111002
1139549a07843
1217505196076
1395ab395635
144bc7a51c26
152916c1311c
hex1754739dda

100201111002 has 96 divisors (see below), whose sum is σ = 220910376960. Its totient is φ = 32821407360.

The previous prime is 100201110979. The next prime is 100201111019. The reversal of 100201111002 is 200111102001.

It is a happy number.

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

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, 141327024 + ... + 141327732.

It is an arithmetic number, because the mean of its divisors is an integer number (2301149760).

Almost surely, 2100201111002 is an apocalyptic number.

100201111002 is an abundant number, since it is smaller than the sum of its proper divisors (120709265958).

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

100201111002 is a wasteful number, since it uses less digits than its factorization.

100201111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1345 counting only the distinct ones).

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

Adding to 100201111002 its reverse (200111102001), we get a palindrome (300312213003).

Subtracting 100201111002 from its reverse (200111102001), we obtain a palindrome (99909990999).

It can be divided in two parts, 100 and 201111002, that added together give a palindrome (201111102).

The spelling of 100201111002 in words is "one hundred billion, two hundred one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 127 211 254 293 381 422 586 633 709 762 879 1143 1266 1418 1758 1899 2127 2286 2637 3798 4254 5274 6381 12762 26797 37211 53594 61823 74422 80391 90043 111633 123646 149599 160782 180086 185469 207737 223266 241173 270129 299198 334899 370938 415474 448797 482346 540258 556407 623211 669798 810387 897594 1112814 1246422 1346391 1620774 1869633 2692782 3739266 7851521 15703042 18999073 23554563 26382599 37998146 43832507 47109126 52765198 56997219 70663689 79147797 87665014 113994438 131497521 141327378 158295594 170991657 237443391 262995042 341983314 394492563 474886782 788985126 5566728389 11133456778 16700185167 33400370334 50100555501 100201111002