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100213231020 = 223572191794007
BaseRepresentation
bin101110101010100101…
…1001000110110101100
3100120200000212121012220
41131111023020312230
53120214041343040
6114012021155340
710145243260200
oct1352513106654
9316600777186
10100213231020
1139555835791
121750925bb50
1395b0a4a146
144bc94c8b00
152917d092d0
hex17552c8dac

100213231020 has 144 divisors (see below), whose sum is σ = 343588412160. Its totient is φ = 21700296576.

The previous prime is 100213231009. The next prime is 100213231043. The reversal of 100213231020 is 20132312001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841144 + ... + 952863.

It is an arithmetic number, because the mean of its divisors is an integer number (2386030640).

Almost surely, 2100213231020 is an apocalyptic number.

100213231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213231020 is an abundant number, since it is smaller than the sum of its proper divisors (243375181140).

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

100213231020 is a wasteful number, since it uses less digits than its factorization.

100213231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794052 (or 1794043 counting only the distinct ones).

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

Adding to 100213231020 its reverse (20132312001), we get a palindrome (120345543021).

The spelling of 100213231020 in words is "one hundred billion, two hundred thirteen million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2660 2793 2940 3724 3990 4655 5586 7980 9310 11172 13965 18620 27930 55860 1794007 3588014 5382021 7176028 8970035 10764042 12558049 17940070 21528084 25116098 26910105 34086133 35880140 37674147 50232196 53820210 62790245 68172266 75348294 87906343 102258399 107640420 125580490 136344532 150696588 170430665 175812686 188370735 204516798 238602931 251160980 263719029 340861330 351625372 376741470 409033596 439531715 477205862 511291995 527438058 681722660 715808793 753482940 879063430 954411724 1022583990 1054876116 1193014655 1318595145 1431617586 1670220517 1758126860 2045167980 2386029310 2637190290 2863235172 3340441034 3579043965 4772058620 5010661551 5274380580 6680882068 7158087930 8351102585 10021323102 14316175860 16702205170 20042646204 25053307755 33404410340 50106615510 100213231020