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100321102420 = 22571125922143
BaseRepresentation
bin101110101101110011…
…0101000101001010100
3100120221112212000221221
41131123212220221110
53120424200234140
6114030433220124
710151023205110
oct1353346505124
9316845760857
10100321102420
1139600713100
1217539401644
1395ca1b8686
144bd9968740
15292251614a
hex175b9a8a54

100321102420 has 72 divisors (see below), whose sum is σ = 264648771072. Its totient is φ = 31268909760.

The previous prime is 100321102373. The next prime is 100321102433. The reversal of 100321102420 is 24201123001.

It is a junction number, because it is equal to n+sod(n) for n = 100321102394 and 100321102403.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2944132 + ... + 2978011.

It is an arithmetic number, because the mean of its divisors is an integer number (3675677376).

Almost surely, 2100321102420 is an apocalyptic number.

100321102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100321102420 is an abundant number, since it is smaller than the sum of its proper divisors (164327668652).

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

100321102420 is a wasteful number, since it uses less digits than its factorization.

100321102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922181 (or 5922168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100321102420 its reverse (24201123001), we get a palindrome (124522225421).

The spelling of 100321102420 in words is "one hundred billion, three hundred twenty-one million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 5922143 11844286 23688572 29610715 41455001 59221430 65143573 82910002 118442860 130287146 165820004 207275005 260574292 325717865 414550010 456005011 651435730 716579303 829100020 912010022 1302871460 1433158606 1824020044 2280025055 2866317212 3582896515 4560050110 5016055121 7165793030 9120100220 10032110242 14331586060 20064220484 25080275605 50160551210 100321102420