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31242442110 = 235112910132323
BaseRepresentation
bin11101000110001100…
…011101010101111110
32222122100011111112120
4131012030131111332
51002441031121420
622204053543410
72154134243025
oct350614352576
988570144476
1031242442110
11122825a91a0
12607b044b66
132c3b8c9849
1417254658bc
15c2cc49d40
hex74631d57e

31242442110 has 128 divisors (see below), whose sum is σ = 85459484160. Its totient is φ = 7240128000.

The previous prime is 31242442093. The next prime is 31242442111. The reversal of 31242442110 is 1124424213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31242442111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 950409 + ... + 982731.

It is an arithmetic number, because the mean of its divisors is an integer number (667652220).

Almost surely, 231242442110 is an apocalyptic number.

31242442110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242442110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42729742080).

31242442110 is an abundant number, since it is smaller than the sum of its proper divisors (54217042050).

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

31242442110 is a wasteful number, since it uses less digits than its factorization.

31242442110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32474.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31242442110 its reverse (1124424213), we get a palindrome (32366866323).

The spelling of 31242442110 in words is "thirty-one billion, two hundred forty-two million, four hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 101 110 145 165 174 202 290 303 319 330 435 505 606 638 870 957 1010 1111 1515 1595 1914 2222 2929 3030 3190 3333 4785 5555 5858 6666 8787 9570 11110 14645 16665 17574 29290 32219 32323 33330 43935 64438 64646 87870 96657 96969 161095 161615 193314 193938 322190 323230 355553 483285 484845 711106 937367 966570 969690 1066659 1777765 1874734 2133318 2812101 3264623 3555530 4686835 5333295 5624202 6529246 9373670 9793869 10311037 10666590 14060505 16323115 19587738 20622074 28121010 30933111 32646230 35910853 48969345 51555185 61866222 71821706 94674067 97938690 103110370 107732559 154665555 179554265 189348134 215465118 284022201 309331110 359108530 473370335 538662795 568044402 946740670 1041414737 1077325590 1420111005 2082829474 2840222010 3124244211 5207073685 6248488422 10414147370 15621221055 31242442110