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100401037470 = 232519307191251
BaseRepresentation
bin101110110000001011…
…1100100000010011110
3100121011010021011020100
41131200113210002132
53121110131144340
6114042410401530
710153013510646
oct1354027440236
9317133234210
10100401037470
113964184a528
12175601302a6
139610925316
144c06415526
152929555830
hex17605e409e

100401037470 has 96 divisors (see below), whose sum is σ = 275678282880. Its totient is φ = 25281720000.

The previous prime is 100401037469. The next prime is 100401037481. The reversal of 100401037470 is 74730104001.

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 47 ways as a sum of consecutive naturals, for example, 429345 + ... + 620595.

It is an arithmetic number, because the mean of its divisors is an integer number (2871648780).

Almost surely, 2100401037470 is an apocalyptic number.

100401037470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100401037470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137839141440).

100401037470 is an abundant number, since it is smaller than the sum of its proper divisors (175277245410).

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

100401037470 is a wasteful number, since it uses less digits than its factorization.

100401037470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191590 (or 191587 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 100401037470 in words is "one hundred billion, four hundred one million, thirty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 307 342 570 614 855 921 1535 1710 1842 2763 3070 4605 5526 5833 9210 11666 13815 17499 27630 29165 34998 52497 58330 87495 104994 174990 191251 262485 382502 524970 573753 956255 1147506 1721259 1912510 2868765 3442518 3633769 5737530 7267538 8606295 10901307 17212590 18168845 21802614 32703921 36337690 54506535 58714057 65407842 109013070 117428114 163519605 176142171 293570285 327039210 352284342 528426513 587140570 880710855 1056853026 1115567083 1761421710 2231134166 2642132565 3346701249 5284265130 5577835415 6693402498 10040103747 11155670830 16733506245 20080207494 33467012490 50200518735 100401037470