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31213222112000 = 28532383340927
BaseRepresentation
bin1110001100011011001010…
…00001000010101100000000
311002111221210010010202022102
413012031211001002230000
513042344134330041000
6150215053431325532
76401036512240565
oct706154501025400
9132457703122272
1031213222112000
119a444a9178635
1236013b8b208a8
131455518125766
1479ca2993a86c
15391dda68c3d5
hex1c6365042b00

31213222112000 has 144 divisors (see below), whose sum is σ = 77761200421632. Its totient is φ = 12484459929600.

The previous prime is 31213222111943. The next prime is 31213222112089. The reversal of 31213222112000 is 21122231213.

It is a super-2 number, since 2×312132221120002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762635537 + ... + 762676463.

Almost surely, 231213222112000 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 31213222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880600210816).

31213222112000 is an abundant number, since it is smaller than the sum of its proper divisors (46547978309632).

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

31213222112000 is an equidigital number, since it uses as much as digits as its factorization.

31213222112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64791 (or 64767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31213222112000 its reverse (21122231213), we get a palindrome (31234344343213).

The spelling of 31213222112000 in words is "thirty-one trillion, two hundred thirteen billion, two hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 23833 32000 40927 47666 81854 95332 119165 163708 190664 204635 238330 327416 381328 409270 476660 595825 654832 762656 818540 953320 1023175 1191650 1309664 1525312 1637080 1906640 2046350 2383300 2619328 2979125 3050624 3274160 3813280 4092700 4766600 5115875 5238656 5958250 6101248 6548320 7626560 8185400 9533200 10231750 10477312 11916500 13096640 15253120 16370800 19066400 20463500 23833000 26193280 30506240 32741600 38132800 40927000 47666000 52386560 65483200 76265600 81854000 95332000 130966400 152531200 163708000 190664000 261932800 327416000 381328000 654832000 762656000 975413191 1309664000 1950826382 3901652764 4877065955 7803305528 9754131910 15606611056 19508263820 24385329775 31213222112 39016527640 48770659550 62426444224 78033055280 97541319100 121926648875 124852888448 156066110560 195082638200 243853297750 249705776896 312132221120 390165276400 487706595500 624264442240 780330552800 975413191000 1248528884480 1560661105600 1950826382000 3121322211200 3901652764000 6242644422400 7803305528000 15606611056000 31213222112000