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31331112030 = 232517101202751
BaseRepresentation
bin11101001011011110…
…101101010001011110
32222212112000101210200
4131023132231101132
51003131231041110
622220542244330
72156262025641
oct351336552136
988775011720
1031331112030
1112318661219
1260a48866a6
132c540a425a
141733147a58
15c359126c0
hex74b7ad45e

31331112030 has 96 divisors (see below), whose sum is σ = 87107125248. Its totient is φ = 7785600000.

The previous prime is 31331112019. The next prime is 31331112037. The reversal of 31331112030 is 3021113313.

It is a happy number.

31331112030 is a `hidden beast` number, since 313 + 311 + 12 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31331111994 and 31331112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331112037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53155 + ... + 255905.

It is an arithmetic number, because the mean of its divisors is an integer number (907365888).

Almost surely, 231331112030 is an apocalyptic number.

31331112030 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 31331112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43553562624).

31331112030 is an abundant number, since it is smaller than the sum of its proper divisors (55776013218).

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

31331112030 is a wasteful number, since it uses less digits than its factorization.

31331112030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202882 (or 202879 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31331112030 its reverse (3021113313), we get a palindrome (34352225343).

The spelling of 31331112030 in words is "thirty-one billion, three hundred thirty-one million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 101 102 153 170 202 255 303 306 505 510 606 765 909 1010 1515 1530 1717 1818 3030 3434 4545 5151 8585 9090 10302 15453 17170 25755 30906 51510 77265 154530 202751 405502 608253 1013755 1216506 1824759 2027510 3041265 3446767 3649518 6082530 6893534 9123795 10340301 17233835 18247590 20477851 20680602 31020903 34467670 40955702 51701505 61433553 62041806 102389255 103403010 122867106 155104515 184300659 204778510 307167765 310209030 348123467 368601318 614335530 696246934 921503295 1044370401 1740617335 1843006590 2088740802 3133111203 3481234670 5221852005 6266222406 10443704010 15665556015 31331112030