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101020112232 = 233139731110733
BaseRepresentation
bin101111000010101000…
…1001001010101101000
3100122202021011102011020
41132011101021111220
53123342122042412
6114224043332440
710204241533434
oct1360521112550
9318667142136
10101020112232
113992a246566
12176b3521120
1396abc6c150
144c647259c4
152963a9018c
hex1785449568

101020112232 has 128 divisors (see below), whose sum is σ = 275690338560. Its totient is φ = 30660894720.

The previous prime is 101020112191. The next prime is 101020112233. The reversal of 101020112232 is 232211020101.

It is not an unprimeable number, because it can be changed into a prime (101020112233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9406738 + ... + 9417470.

It is an arithmetic number, because the mean of its divisors is an integer number (2153830770).

Almost surely, 2101020112232 is an apocalyptic number.

101020112232 is a gapful number since it is divisible by the number (12) 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 101020112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137845169280).

101020112232 is an abundant number, since it is smaller than the sum of its proper divisors (174670226328).

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

101020112232 is a wasteful number, since it uses less digits than its factorization.

101020112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11163 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101020112232 its reverse (232211020101), we get a palindrome (333231132333).

The spelling of 101020112232 in words is "one hundred one billion, twenty million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 311 312 388 582 622 776 933 1164 1244 1261 1866 2328 2488 2522 3732 3783 4043 5044 7464 7566 8086 10088 10733 12129 15132 16172 21466 24258 30167 30264 32199 32344 42932 48516 60334 64398 85864 90501 97032 120668 128796 139529 181002 241336 257592 279058 362004 392171 418587 558116 724008 784342 837174 1041101 1116232 1176513 1568684 1674348 2082202 2353026 3123303 3137368 3337963 3348696 4164404 4706052 6246606 6675926 8328808 9412104 10013889 12493212 13351852 13534313 20027778 24986424 26703704 27068626 40055556 40602939 43393519 54137252 80111112 81205878 86787038 108274504 130180557 162411756 173574076 260361114 323782411 324823512 347148152 520722228 647564822 971347233 1041444456 1295129644 1942694466 2590259288 3885388932 4209171343 7770777864 8418342686 12627514029 16836685372 25255028058 33673370744 50510056116 101020112232