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2100113433120 = 253517924442661
BaseRepresentation
bin11110100011111000100…
…000111110001000100000
321102202202111221012012110
4132203320200332020200
5233402013014324440
64244440115155320
7304504524434253
oct36437040761040
97382674835173
102100113433120
1173a72031296a
1229b0238a5b40
1312306970b9b1
14739089db09a
1539967172080
hex1e8f883e220

2100113433120 has 96 divisors (see below), whose sum is σ = 6652314889920. Its totient is φ = 556901565440.

The previous prime is 2100113433091. The next prime is 2100113433149. The reversal of 2100113433120 is 213343110012.

It is an interprime number because it is at equal distance from previous prime (2100113433091) and next prime (2100113433149).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12135411 + ... + 12307250.

It is an arithmetic number, because the mean of its divisors is an integer number (69294946770).

Almost surely, 22100113433120 is an apocalyptic number.

2100113433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100113433120 is an abundant number, since it is smaller than the sum of its proper divisors (4552201456800).

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

2100113433120 is a wasteful number, since it uses less digits than its factorization.

2100113433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24442858 (or 24442850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2100113433120 its reverse (213343110012), we get a palindrome (2313456543132).

The spelling of 2100113433120 in words is "two trillion, one hundred billion, one hundred thirteen million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5728 7160 8592 10740 14320 17184 21480 28640 42960 85920 24442661 48885322 73327983 97770644 122213305 146655966 195541288 244426610 293311932 366639915 391082576 488853220 586623864 733279830 782165152 977706440 1173247728 1466559660 1955412880 2346495456 2933119320 3910825760 4375236319 5866238640 8750472638 11732477280 13125708957 17500945276 21876181595 26251417914 35001890552 43752363190 52502835828 65628544785 70003781104 87504726380 105005671656 131257089570 140007562208 175009452760 210011343312 262514179140 350018905520 420022686624 525028358280 700037811040 1050056716560 2100113433120