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2100102240 = 253537118249
BaseRepresentation
bin111110100101101…
…0000010001100000
312102100201020200110
41331023100101200
513300111232430
6544220251320
7103020401025
oct17513202140
95370636613
102100102240
119884a8995
124a73a0b40
13276125562
1415ccb554c
15c45877b0
hex7d2d0460

2100102240 has 96 divisors (see below), whose sum is σ = 6794172000. Its totient is φ = 544886784.

The previous prime is 2100102229. The next prime is 2100102289. The reversal of 2100102240 is 422010012.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41365 + ... + 76884.

It is an arithmetic number, because the mean of its divisors is an integer number (70772625).

Almost surely, 22100102240 is an apocalyptic number.

2100102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100102240 is an abundant number, since it is smaller than the sum of its proper divisors (4694069760).

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

2100102240 is a wasteful number, since it uses less digits than its factorization.

2100102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118304 (or 118296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100102240 is about 45826.8724658360. The cubic root of 2100102240 is about 1280.5999466207.

Adding to 2100102240 its reverse (422010012), we get a palindrome (2522112252).

The spelling of 2100102240 in words is "two billion, one hundred million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 118249 236498 354747 472996 591245 709494 945992 1182490 1418988 1773735 1891984 2364980 2837976 3547470 3783968 4375213 4729960 5675952 7094940 8750426 9459920 11351904 13125639 14189880 17500852 18919840 21876065 26251278 28379760 35001704 43752130 52502556 56759520 65628195 70003408 87504260 105005112 131256390 140006816 175008520 210010224 262512780 350017040 420020448 525025560 700034080 1050051120 2100102240