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101220023320 = 235131731125167
BaseRepresentation
bin101111001000100101…
…1101111110000011000
3100200021012022221121121
41132101023233300120
53124244311221240
6114255544215024
710212220000543
oct1362113576030
9320235287547
10101220023320
1139a22078739
121774a46a474
1397114c4b30
144c830c385a
1529763cd04a
hex17912efc18

101220023320 has 64 divisors (see below), whose sum is σ = 246681832320. Its totient is φ = 37157481984.

The previous prime is 101220023287. The next prime is 101220023351. The reversal of 101220023320 is 23320022101.

It is a junction number, because it is equal to n+sod(n) for n = 101220023294 and 101220023303.

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 15 ways as a sum of consecutive naturals, for example, 472624 + ... + 652543.

It is an arithmetic number, because the mean of its divisors is an integer number (3854403630).

Almost surely, 2101220023320 is an apocalyptic number.

101220023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220023320 is an abundant number, since it is smaller than the sum of its proper divisors (145461809000).

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

101220023320 is a wasteful number, since it uses less digits than its factorization.

101220023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125364 (or 1125360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101220023320 its reverse (23320022101), we get a palindrome (124540045421).

The spelling of 101220023320 in words is "one hundred one billion, two hundred twenty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 692 865 1384 1730 2249 3460 4498 6920 8996 11245 17992 22490 44980 89960 1125167 2250334 4500668 5625835 9001336 11251670 14627171 22503340 29254342 45006680 58508684 73135855 117017368 146271710 194653891 292543420 389307782 585086840 778615564 973269455 1557231128 1946538910 2530500583 3893077820 5061001166 7786155640 10122002332 12652502915 20244004664 25305005830 50610011660 101220023320