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30211001300032 = 267541449327743
BaseRepresentation
bin1101101111010000011000…
…00000000011010001000000
310221222010212121212101112021
412313220030000003101000
512424434112313100112
6144130424205211224
76235446530012230
oct667501400032100
9127863777771467
1030211001300032
1196984606a8853
12347b117260b14
1313b1b67a1c6c7
14766312599cc0
15375ccde97907
hex1b7a0c003440

30211001300032 has 112 divisors (see below), whose sum is σ = 68658630792192. Its totient is φ = 12920297195520.

The previous prime is 30211001300003. The next prime is 30211001300071. The reversal of 30211001300032 is 23000310011203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30211001299979 and 30211001300015.

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, 1088945553 + ... + 1088973295.

It is an arithmetic number, because the mean of its divisors is an integer number (613023489216).

Almost surely, 230211001300032 is an apocalyptic number.

30211001300032 is a gapful number since it is divisible by the number (32) 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 30211001300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329315396096).

30211001300032 is an abundant number, since it is smaller than the sum of its proper divisors (38447629492160).

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

30211001300032 is a wasteful number, since it uses less digits than its factorization.

30211001300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32796 (or 32786 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30211001300032 its reverse (23000310011203), we get a palindrome (53211311311235).

The spelling of 30211001300032 in words is "thirty trillion, two hundred eleven billion, one million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 541 1082 2164 3787 4328 4493 7574 8656 8986 15148 17312 17972 27743 30296 31451 34624 35944 55486 60592 62902 71888 110972 121184 125804 143776 194201 221944 242368 251608 287552 388402 443888 503216 776804 887776 1006432 1553608 1775552 2012864 2430713 3107216 4861426 6214432 9722852 12428864 15008963 17014991 19445704 30017926 34029982 38891408 60035852 68059964 77782816 105062741 120071704 124649299 136119928 155565632 210125482 240143408 249298598 272239856 420250964 480286816 498597196 544479712 840501928 872545093 960573632 997194392 1088959424 1681003856 1745090186 1994388784 3362007712 3490180372 3988777568 6724015424 6980360744 7977555136 13960721488 27921442976 55842885952 67435270759 134870541518 269741083036 472046895313 539482166072 944093790626 1078964332144 1888187581252 2157928664288 3776375162504 4315857328576 7552750325008 15105500650016 30211001300032