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31038899400 = 23325252332971
BaseRepresentation
bin11100111010000100…
…000000010011001000
32222010011011110102200
4130322010000103020
51002031424240100
622131543200200
72146113202035
oct347204002310
988104143380
1031038899400
1112188716583
126022a46060
132c086a1b82
14170640038c
15c19e40e00
hex73a1004c8

31038899400 has 144 divisors (see below), whose sum is σ = 104441447760. Its totient is φ = 8260963200.

The previous prime is 31038899399. The next prime is 31038899417. The reversal of 31038899400 is 499883013.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924915 + ... + 957885.

Almost surely, 231038899400 is an apocalyptic number.

31038899400 is a gapful number since it is divisible by the number (30) 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 31038899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52220723880).

31038899400 is an abundant number, since it is smaller than the sum of its proper divisors (73402548360).

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

31038899400 is a wasteful number, since it uses less digits than its factorization.

31038899400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33516 (or 33504 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31038899400 in words is "thirty-one billion, thirty-eight million, eight hundred ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 523 600 900 1046 1569 1800 2092 2615 3138 4184 4707 5230 6276 7845 9414 10460 12552 13075 15690 18828 20920 23535 26150 31380 32971 37656 39225 47070 52300 62760 65942 78450 94140 98913 104600 117675 131884 156900 164855 188280 197826 235350 263768 296739 313800 329710 395652 470700 494565 593478 659420 791304 824275 941400 989130 1186956 1318840 1483695 1648550 1978260 2373912 2472825 2967390 3297100 3956520 4945650 5934780 6594200 7418475 9891300 11869560 14836950 17243833 19782600 29673900 34487666 51731499 59347800 68975332 86219165 103462998 137950664 155194497 172438330 206925996 258657495 310388994 344876660 413851992 431095825 517314990 620777988 689753320 775972485 862191650 1034629980 1241555976 1293287475 1551944970 1724383300 2069259960 2586574950 3103889940 3448766600 3879862425 5173149900 6207779880 7759724850 10346299800 15519449700 31038899400