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100010111011002 = 23213961993768917
BaseRepresentation
bin10110101111010101101011…
…001001000000100010111010
3111010002212120120222002212200
4112233111223021000202322
5101102031201404323002
6552412002152451030
730031330532256363
oct2657255311004272
9433085516862780
10100010111011002
1129959060453415
12b2727679a9a76
1343a5bb3b309aa
141a9a72d9d0b6a
15b8675c2a9b1c
hex5af56b2408ba

100010111011002 has 96 divisors (see below), whose sum is σ = 218836538356800. Its totient is φ = 33007658920704.

The previous prime is 100010111010983. The next prime is 100010111011043. The reversal of 100010111011002 is 200110111010001.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1451133048 + ... + 1451201964.

It is an arithmetic number, because the mean of its divisors is an integer number (2279547274550).

Almost surely, 2100010111011002 is an apocalyptic number.

100010111011002 is an abundant number, since it is smaller than the sum of its proper divisors (118826427345798).

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

100010111011002 is a wasteful number, since it uses less digits than its factorization.

100010111011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70620 (or 70617 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010111011002 its reverse (200110111010001), we get a palindrome (300120222021003).

The spelling of 100010111011002 in words is "one hundred trillion, ten billion, one hundred eleven million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 139 278 417 619 834 937 1238 1251 1857 1874 2502 2811 3714 5571 5622 8433 11142 16866 68917 86041 130243 137834 172082 206751 258123 260486 390729 413502 516246 580003 620253 774369 781458 1160006 1172187 1240506 1548738 1740009 2344374 3480018 5220027 9579463 10440054 19158926 28738389 42659623 57476778 64575229 80620417 85319246 86215167 127978869 129150458 161240834 172430334 193725687 241861251 255957738 383936607 387451374 483722502 581177061 725583753 767873214 1162354122 1451167506 5929687597 8975956831 11859375194 17789062791 17951913662 26927870493 35578125582 39972066751 53367188373 53855740986 79944133502 80783611479 106734376746 119916200253 161567222958 239832400506 359748600759 719497201518 5556117278389 11112234556778 16668351835167 33336703670334 50005055505501 100010111011002