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101033023312 = 24132359935257
BaseRepresentation
bin101111000011000001…
…0011001011101010000
3100122210011110100211101
41132012002121131100
53123403423221222
6114225224154144
710204456346164
oct1360602313520
9318704410741
10101033023312
1139936564881
12176b7908954
1396b183ca40
144c66326ca4
152964c90927
hex1786099750

101033023312 has 80 divisors (see below), whose sum is σ = 220348396800. Its totient is φ = 44527481856.

The previous prime is 101033023253. The next prime is 101033023423. The reversal of 101033023312 is 213320330101.

It is a self number, because there is not a number n which added to its sum of digits gives 101033023312.

It is a congruent number.

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, 2847988 + ... + 2883244.

It is an arithmetic number, because the mean of its divisors is an integer number (2754354960).

Almost surely, 2101033023312 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 101033023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110174198400).

101033023312 is an abundant number, since it is smaller than the sum of its proper divisors (119315373488).

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

101033023312 is a wasteful number, since it uses less digits than its factorization.

101033023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35900 (or 35894 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 101033023312 its reverse (213320330101), we get a palindrome (314353353413).

The spelling of 101033023312 in words is "one hundred one billion, thirty-three million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 599 1196 1198 2392 2396 4784 4792 7787 9584 13777 15574 27554 31148 35257 55108 62296 70514 110216 124592 141028 179101 220432 282056 358202 458341 564112 716404 810911 916682 1432808 1621822 1833364 2865616 3243644 3666728 6487288 7333456 10541843 12974576 21083686 21118943 42167372 42237886 84334744 84475772 168669488 168951544 274546259 337903088 485735689 549092518 971471378 1098185036 1942942756 2196370072 3885885512 4392740144 6314563957 7771771024 12629127914 25258255828 50516511656 101033023312