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2031102202100 = 2252194197726687
BaseRepresentation
bin11101100011100111001…
…000000001000011110100
321012011122000010102101012
4131203213020001003310
5231234144130431400
64153024145051352
7266512414601066
oct35434710010364
97164560112335
102031102202100
11713427273644
12289784026b58
131196bc09b55a
147043d44b736
1537c78774d35
hex1d8e72010f4

2031102202100 has 144 divisors (see below), whose sum is σ = 4757665489920. Its totient is φ = 750111436800.

The previous prime is 2031102202079. The next prime is 2031102202121. The reversal of 2031102202100 is 12022011302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2031102202079) and next prime (2031102202121).

It is a congruent number.

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, 76094957 + ... + 76121643.

It is an arithmetic number, because the mean of its divisors is an integer number (33039343680).

Almost surely, 22031102202100 is an apocalyptic number.

2031102202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031102202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378832744960).

2031102202100 is an abundant number, since it is smaller than the sum of its proper divisors (2726563287820).

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

2031102202100 is a wasteful number, since it uses less digits than its factorization.

2031102202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27738 (or 27731 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2031102202100 its reverse (12022011302), we get a palindrome (2043124213402).

The spelling of 2031102202100 in words is "two trillion, thirty-one billion, one hundred two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 779 820 950 977 1025 1558 1900 1954 2050 3116 3895 3908 4100 4885 7790 9770 15580 18563 19475 19540 24425 26687 37126 38950 40057 48850 53374 74252 77900 80114 92815 97700 106748 133435 160228 185630 200285 266870 371260 400570 464075 507053 533740 667175 761083 801140 928150 1001425 1014106 1094167 1334350 1522166 1856300 2002850 2028212 2188334 2535265 2668700 3044332 3805415 4005700 4376668 5070530 5470835 7610830 10141060 10941670 12676325 15221660 19027075 20789173 21883340 25352650 26073199 27354175 38054150 41578346 50705300 52146398 54708350 76108300 83156692 103945865 104292796 109416700 130365995 207891730 260731990 415783460 495390781 519729325 521463980 651829975 990781562 1039458650 1069001159 1303659950 1981563124 2078917300 2138002318 2476953905 2607319900 4276004636 4953907810 5345005795 9907815620 10690011590 12384769525 20311022021 21380023180 24769539050 26725028975 40622044042 49539078100 53450057950 81244088084 101555110105 106900115900 203110220210 406220440420 507775550525 1015551101050 2031102202100