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101012331330 = 23252717575471
BaseRepresentation
bin101111000010011001…
…1011101101101000010
3100122201201112002202200
41132010303131231002
53123333124100310
6114223204454030
710204115435541
oct1360463355502
9318651462680
10101012331330
1139925911669
12176b09aa316
1396aa476671
144c6369c158
1529630549c0
hex1784cddb42

101012331330 has 96 divisors (see below), whose sum is σ = 263997646848. Its totient is φ = 26796873600.

The previous prime is 101012331313. The next prime is 101012331341. The reversal of 101012331330 is 33133210101.

It is a happy number.

101012331330 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 2 + 331 + 330 = 666.

It is a super-3 number, since 3×1010123313303 (a number of 34 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18460495 + ... + 18465965.

It is an arithmetic number, because the mean of its divisors is an integer number (2749975488).

Almost surely, 2101012331330 is an apocalyptic number.

101012331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012331330 is an abundant number, since it is smaller than the sum of its proper divisors (162985315518).

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

101012331330 is a wasteful number, since it uses less digits than its factorization.

101012331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6509 counting only the distinct ones).

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

Adding to 101012331330 its reverse (33133210101), we get a palindrome (134145541431).

The spelling of 101012331330 in words is "one hundred one billion, twelve million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 757 813 1355 1514 1626 2271 2439 2710 3785 4065 4542 4878 5471 6813 7570 8130 10942 11355 12195 13626 16413 22710 24390 27355 32826 34065 49239 54710 68130 82065 98478 164130 205147 246195 410294 492390 615441 1025735 1230882 1482641 1846323 2051470 2965282 3077205 3692646 4141547 4447923 6154410 7413205 8283094 8895846 9231615 12424641 13343769 14826410 18463230 20707735 22239615 24849282 26687538 37273923 41415470 44479230 62123205 66718845 74547846 124246410 133437690 186369615 372739230 1122359237 2244718474 3367077711 5611796185 6734155422 10101233133 11223592370 16835388555 20202466266 33670777110 50506165665 101012331330