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2100031102320 = 243537733322633
BaseRepresentation
bin11110100011110011100…
…110111001110101110000
321102202112210000100120120
4132203303212321311300
5233401330430233240
64244424014410240
7304502504562624
oct36436346716560
97382483010516
102100031102320
1173a68889a588
1229b000200980
13123055643748
14738dbac9184
153995ed0cad0
hex1e8f39b9d70

2100031102320 has 160 divisors (see below), whose sum is σ = 6695187200832. Its totient is φ = 544127901696.

The previous prime is 2100031102303. The next prime is 2100031102327. The reversal of 2100031102320 is 232011300012.

It is a super-2 number, since 2×21000311023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100031102320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100031102327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6347724 + ... + 6670356.

Almost surely, 22100031102320 is an apocalyptic number.

2100031102320 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 2100031102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347593600416).

2100031102320 is an abundant number, since it is smaller than the sum of its proper divisors (4595156098512).

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

2100031102320 is a wasteful number, since it uses less digits than its factorization.

2100031102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323419 (or 323413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2100031102320 its reverse (232011300012), we get a palindrome (2332042402332).

The spelling of 2100031102320 in words is "two trillion, one hundred billion, thirty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 733 740 888 1110 1466 1480 1776 2199 2220 2932 2960 3665 4398 4440 5864 7330 8796 8880 10995 11728 14660 17592 21990 27121 29320 35184 43980 54242 58640 81363 87960 108484 135605 162726 175920 216968 271210 322633 325452 406815 433936 542420 645266 650904 813630 967899 1084840 1290532 1301808 1613165 1627260 1935798 2169680 2581064 3226330 3254520 3871596 4839495 5162128 6452660 6509040 7743192 9678990 11937421 12905320 15486384 19357980 23874842 25810640 35812263 38715960 47749684 59687105 71624526 77431920 95499368 119374210 143249052 179061315 190998736 236489989 238748420 286498104 358122630 472979978 477496840 572996208 709469967 716245260 945959956 954993680 1182449945 1418939934 1432490520 1891919912 2364899890 2837879868 2864981040 3547349835 3783839824 4729799780 5675759736 7094699670 8750129593 9459599560 11351519472 14189399340 17500259186 18919199120 26250388779 28378798680 35000518372 43750647965 52500777558 56757597360 70001036744 87501295930 105001555116 131251943895 140002073488 175002591860 210003110232 262503887790 350005183720 420006220464 525007775580 700010367440 1050015551160 2100031102320