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31021212130224 = 24323163499345463
BaseRepresentation
bin1110000110110101100000…
…10101000101101110110000
311001211121011121111001021220
413003122300111011232300
513031222420301131344
6145550540443145040
76351131361311421
oct703326025055660
9131747147431256
1031021212130224
119980027587388
123590151215180
131440398263224
14793612a85648
1538bded8e0c19
hex1c36b0545bb0

31021212130224 has 160 divisors (see below), whose sum is σ = 84304270848000. Its totient is φ = 9810413293824.

The previous prime is 31021212130219. The next prime is 31021212130231. The reversal of 31021212130224 is 42203121212013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31021212130194 and 31021212130203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89623317 + ... + 89968779.

It is an arithmetic number, because the mean of its divisors is an integer number (526901692800).

Almost surely, 231021212130224 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 31021212130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42152135424000).

31021212130224 is an abundant number, since it is smaller than the sum of its proper divisors (53283058717776).

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

31021212130224 is a wasteful number, since it uses less digits than its factorization.

31021212130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346159 (or 346153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31021212130224 its reverse (42203121212013), we get a palindrome (73224333342237).

The spelling of 31021212130224 in words is "thirty-one trillion, twenty-one billion, two hundred twelve million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 163 184 276 326 368 489 499 552 652 978 998 1104 1304 1497 1956 1996 2608 2994 3749 3912 3992 5988 7498 7824 7984 11247 11477 11976 14996 22494 22954 23952 29992 34431 44988 45908 59984 68862 81337 89976 91816 137724 162674 179952 183632 244011 275448 325348 345463 488022 550896 650696 690926 976044 1036389 1301392 1381852 1870751 1952088 2072778 2763704 3741502 3904176 4145556 5527408 5612253 7483004 7945649 8291112 11224506 14966008 15891298 16582224 22449012 23836947 29932016 31782596 44898024 47673894 56310469 63565192 89796048 95347788 112620938 127130384 168931407 172386037 190695576 225241876 337862814 344772074 381391152 450483752 517158111 675725628 689544148 900967504 1034316222 1295140787 1351451256 1379088296 2068632444 2590281574 2702902512 2758176592 3885422361 3964878851 4137264888 5180563148 7770844722 7929757702 8274529776 10361126296 11894636553 15541689444 15859515404 20722252592 23789273106 28098924031 31083378888 31719030808 47578546212 56197848062 62166757776 63438061616 84296772093 95157092424 112395696124 168593544186 190314184848 224791392248 337187088372 449582784496 646275252713 674374176744 1292550505426 1348748353488 1938825758139 2585101010852 3877651516278 5170202021704 7755303032556 10340404043408 15510606065112 31021212130224