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10031311400 = 23521121992083
BaseRepresentation
bin10010101011110100…
…11010101000101000
3221220002200102021212
421111322122220220
5131021003431100
64335221452252
7503404511555
oct112572325050
927802612255
1010031311400
114288460800
121b3b571088
13c3b331326
146b2393a2c
153da9e5635
hex255e9aa28

10031311400 has 144 divisors (see below), whose sum is σ = 25776996000. Its totient is φ = 3627676800.

The previous prime is 10031311331. The next prime is 10031311427. The reversal of 10031311400 is 411313001.

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, 4814759 + ... + 4816841.

Almost surely, 210031311400 is an apocalyptic number.

10031311400 is a gapful number since it is divisible by the number (10) 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 10031311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888498000).

10031311400 is an abundant number, since it is smaller than the sum of its proper divisors (15745684600).

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

10031311400 is a wasteful number, since it uses less digits than its factorization.

10031311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10031311400 its reverse (411313001), we get a palindrome (10442624401).

The spelling of 10031311400 in words is "ten billion, thirty-one million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 199 200 220 242 275 398 440 484 550 605 796 968 995 1100 1210 1592 1990 2083 2189 2200 2420 3025 3980 4166 4378 4840 4975 6050 7960 8332 8756 9950 10415 10945 12100 16664 17512 19900 20830 21890 22913 24079 24200 39800 41660 43780 45826 48158 52075 54725 83320 87560 91652 96316 104150 109450 114565 120395 183304 192632 208300 218900 229130 240790 252043 414517 416600 437800 458260 481580 504086 572825 601975 829034 916520 963160 1008172 1145650 1203950 1260215 1658068 2016344 2072585 2291300 2407900 2520430 3316136 4145170 4559687 4582600 4815800 5040860 6301075 8290340 9119374 10081720 10362925 12602150 16580680 18238748 20725850 22798435 25204300 36477496 41451700 45596870 50156557 50408600 82903400 91193740 100313114 113992175 182387480 200626228 227984350 250782785 401252456 455968700 501565570 911937400 1003131140 1253913925 2006262280 2507827850 5015655700 10031311400