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2031134023100 = 2252713433515477
BaseRepresentation
bin11101100011101001000…
…001011001110110111100
321012011201020000002120202
4131203221001121312330
5231234230302214400
64153031243103032
7266513252222510
oct35435101316674
97164636002522
102031134023100
11713443228196
12289792811a78
131196c5860350
1470443772140
1537c7b45d4d5
hex1d8e9059dbc

2031134023100 has 144 divisors (see below), whose sum is σ = 5437228953408. Its totient is φ = 641334620160.

The previous prime is 2031134023007. The next prime is 2031134023103. The reversal of 2031134023100 is 13204311302.

It is a super-2 number, since 2×20311340231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031134023103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3682562 + ... + 4198038.

Almost surely, 22031134023100 is an apocalyptic number.

2031134023100 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 2031134023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718614476704).

2031134023100 is an abundant number, since it is smaller than the sum of its proper divisors (3406094930308).

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

2031134023100 is a wasteful number, since it uses less digits than its factorization.

2031134023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515944 (or 515937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2031134023100 its reverse (13204311302), we get a palindrome (2044338334402).

The spelling of 2031134023100 in words is "two trillion, thirty-one billion, one hundred thirty-four million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 433 455 650 700 866 910 1300 1732 1820 2165 2275 3031 4330 4550 5629 6062 8660 9100 10825 11258 12124 15155 21650 22516 28145 30310 39403 43300 56290 60620 75775 78806 112580 140725 151550 157612 197015 281450 303100 394030 515477 562900 788060 985075 1030954 1970150 2061908 2577385 3608339 3940300 5154770 6701201 7216678 10309540 12886925 13402402 14433356 18041695 25773850 26804804 33506005 36083390 46908407 51547700 67012010 72166780 90208475 93816814 134024020 167530025 180416950 187633628 223201541 234542035 335060050 360833900 446403082 469084070 670120100 892806164 938168140 1116007705 1172710175 1562410787 2232015410 2345420350 2901620033 3124821574 4464030820 4690840700 5580038525 5803240066 6249643148 7812053935 11160077050 11606480132 14508100165 15624107870 20311340231 22320154100 29016200330 31248215740 39060269675 40622680462 58032400660 72540500825 78120539350 81245360924 101556701155 145081001650 156241078700 203113402310 290162003300 406226804620 507783505775 1015567011550 2031134023100