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100021002320 = 24519292269079
BaseRepresentation
bin101110100100110110…
…1110110000001010000
3100120011122011101000102
41131021231312001100
53114320334033240
6113540553111532
710140420330521
oct1351155660120
9316148141012
10100021002320
1139467280498
12174749b85a8
13957cc84155
144babb6a848
152905ed7815
hex1749b76050

100021002320 has 80 divisors (see below), whose sum is σ = 253229328000. Its totient is φ = 36595689984.

The previous prime is 100021002317. The next prime is 100021002373. The reversal of 100021002320 is 23200120001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090460 + ... + 1178619.

It is an arithmetic number, because the mean of its divisors is an integer number (3165366600).

Almost surely, 2100021002320 is an apocalyptic number.

100021002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021002320 is an abundant number, since it is smaller than the sum of its proper divisors (153208325680).

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

100021002320 is a wasteful number, since it uses less digits than its factorization.

100021002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269140 (or 2269134 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100021002320 its reverse (23200120001), we get a palindrome (123221122321).

The spelling of 100021002320 in words is "one hundred billion, twenty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 44080 2269079 4538158 9076316 11345395 18152632 22690790 36305264 43112501 45381580 65803291 86225002 90763160 131606582 172450004 181526320 215562505 263213164 329016455 344900008 431125010 526426328 658032910 689800016 862250020 1052852656 1250262529 1316065820 1724500040 2500525058 2632131640 3449000080 5001050116 5264263280 6251312645 10002100232 12502625290 20004200464 25005250580 50010501160 100021002320