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100099997004 = 22379756321821
BaseRepresentation
bin101110100111001101…
…1001011110101001100
3100120101010210201100110
41131032123023311030
53120001044401004
6113552454200020
710142366635650
oct1351633136514
9316333721313
10100099997004
11394a7925357
1217497353010
139593451a77
144bb8450a60
15290cddd589
hex174e6cbd4c

100099997004 has 96 divisors (see below), whose sum is σ = 270176610816. Its totient is φ = 28253583360.

The previous prime is 100099996999. The next prime is 100099997051. The reversal of 100099997004 is 400799990001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4576414 + ... + 4598234.

It is an arithmetic number, because the mean of its divisors is an integer number (2814339696).

Almost surely, 2100099997004 is an apocalyptic number.

100099997004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100099997004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135088305408).

100099997004 is an abundant number, since it is smaller than the sum of its proper divisors (170076613812).

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

100099997004 is a wasteful number, since it uses less digits than its factorization.

100099997004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 100099997004 in words is "one hundred billion, ninety-nine million, nine hundred ninety-seven thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 563 582 679 1126 1164 1358 1689 2037 2252 2716 3378 3941 4074 6756 7882 8148 11823 15764 21821 23646 43642 47292 54611 65463 87284 109222 130926 152747 163833 218444 261852 305494 327666 382277 458241 610988 655332 764554 916482 1146831 1529108 1832964 2116637 2293662 4233274 4587324 6349911 8466548 12285223 12699822 14816459 24570446 25399644 29632918 36855669 44449377 49140892 59265836 73711338 85996561 88898754 147422676 171993122 177797508 257989683 343986244 515979366 1031958732 1191666631 2383333262 3574999893 4766666524 7149999786 8341666417 14299999572 16683332834 25024999251 33366665668 50049998502 100099997004