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2100202100102 = 2173147197307701
BaseRepresentation
bin11110100011111101110…
…011001101010110000110
321102202222200202221102202
4132203331303031112012
5233402203214200402
64244453003434502
7304506652205501
oct36437563152606
97382880687382
102100202100102
1173a766373767
1229b049525a32
13123081bb4c72
14739166bc138
153996ed38b02
hex1e8fdccd586

2100202100102 has 128 divisors (see below), whose sum is σ = 3550896340992. Its totient is φ = 926989056000.

The previous prime is 2100202100093. The next prime is 2100202100111. The reversal of 2100202100102 is 2010012020012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100202100093) and next prime (2100202100111).

It is a super-2 number, since 2×21002021001022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2996008352 + ... + 2996009052.

It is an arithmetic number, because the mean of its divisors is an integer number (27741377664).

Almost surely, 22100202100102 is an apocalyptic number.

2100202100102 is a deficient number, since it is larger than the sum of its proper divisors (1450694240890).

2100202100102 is a wasteful number, since it uses less digits than its factorization.

2100202100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100202100102 its reverse (2010012020012), we get a palindrome (4110214120114).

The spelling of 2100202100102 in words is "two trillion, one hundred billion, two hundred two million, one hundred thousand, one hundred two".

Divisors: 1 2 17 31 34 47 62 94 197 307 394 527 614 701 799 1054 1402 1457 1598 2914 3349 5219 6107 6698 9259 9517 10438 11917 12214 14429 18518 19034 21731 23834 24769 28858 32947 43462 49538 60479 65894 103819 120958 138097 157403 161789 207638 215207 245293 276194 287029 314806 323578 369427 430414 447299 490586 560099 574058 738854 894598 1021357 1028143 1120198 1874849 2042714 2056286 2347649 2842513 3658519 3749698 4281007 4695298 4879493 5685026 6490559 6671417 7317038 7604083 8562014 9758986 10114729 12981118 13342834 15208166 17363069 20229458 31872433 34726138 42395779 48322721 63744866 72777119 84791558 88117903 96645442 110339503 113414089 145554238 171950393 176235806 201207329 220679006 226828178 313556599 343900786 402414658 627113198 720728243 1314269149 1441456486 1498004351 1992601613 2628538298 2996008702 3420524593 3985203226 5330462183 6841049186 10660924366 22342575533 33874227421 44685151066 61770650003 67748454842 123541300006 1050101050051 2100202100102