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31244014120 = 235111393591423
BaseRepresentation
bin11101000110010010…
…011101001000101000
32222122110010100221011
4131012102131020220
51002441431422440
622204151353304
72154153511114
oct350622351050
988573110834
1031244014120
1112283482280
12607b682834
132c3c02a227
141725754744
15c2ce5a9ea
hex74649d228

31244014120 has 128 divisors (see below), whose sum is σ = 77511168000. Its totient is φ = 11240398080.

The previous prime is 31244014103. The next prime is 31244014121. The reversal of 31244014120 is 2141044213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31244014091 and 31244014100.

It is not an unprimeable number, because it can be changed into a prime (31244014121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21955729 + ... + 21957151.

It is an arithmetic number, because the mean of its divisors is an integer number (605556000).

Almost surely, 231244014120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31244014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755584000).

31244014120 is an abundant number, since it is smaller than the sum of its proper divisors (46267153880).

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

31244014120 is a wasteful number, since it uses less digits than its factorization.

31244014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31244014120 its reverse (2141044213), we get a palindrome (33385058333).

The spelling of 31244014120 in words is "thirty-one billion, two hundred forty-four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 359 440 556 695 718 1112 1390 1423 1436 1529 1795 2780 2846 2872 3058 3590 3949 5560 5692 6116 7115 7180 7645 7898 11384 12232 14230 14360 15290 15653 15796 19745 28460 30580 31306 31592 39490 49901 56920 61160 62612 78265 78980 99802 125224 156530 157960 197797 199604 249505 313060 395594 399208 499010 510857 548911 626120 791188 988985 998020 1021714 1097822 1582376 1977970 1996040 2043428 2175767 2195644 2554285 2744555 3955940 4086856 4351534 4391288 5108570 5489110 5619427 7911880 8703068 10217140 10878835 10978220 11238854 17406136 20434280 21757670 21956440 22477708 28097135 43515340 44955416 56194270 71009123 87030680 112388540 142018246 224777080 284036492 355045615 568072984 710091230 781100353 1420182460 1562200706 2840364920 3124401412 3905501765 6248802824 7811003530 15622007060 31244014120