Search a number
-
+
101032102332 = 22337149989153
BaseRepresentation
bin101111000010111111…
…0111000100110111100
3100122210002201120111000
41132011332320212330
53123403204233312
6114225152330300
710204445462130
oct1360576704674
9318702646430
10101032102332
1139935a95937
12176b7543990
1396b15a9795
144c661673c0
152964b5cadc
hex1785fb89bc

101032102332 has 96 divisors (see below), whose sum is σ = 299557440000. Its totient is φ = 28846734336.

The previous prime is 101032102319. The next prime is 101032102333. The reversal of 101032102332 is 233201230101.

101032102332 is a `hidden beast` number, since 1 + 0 + 10 + 321 + 0 + 2 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032102333) 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, 1088668 + ... + 1177820.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390000).

Almost surely, 2101032102332 is an apocalyptic number.

101032102332 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 101032102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720000).

101032102332 is an abundant number, since it is smaller than the sum of its proper divisors (198525337668).

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

101032102332 is a wasteful number, since it uses less digits than its factorization.

101032102332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90672 (or 90664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101032102332 its reverse (233201230101), we get a palindrome (334233332433).

The spelling of 101032102332 in words is "one hundred one billion, thirty-two million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1499 2998 4497 5996 8994 10493 13491 17988 20986 26982 31479 40473 41972 53964 62958 80946 89153 94437 125916 161892 178306 188874 267459 283311 356612 377748 534918 566622 624071 802377 1069836 1133244 1248142 1604754 1872213 2407131 2496284 3209508 3744426 4814262 5616639 7488852 9628524 11233278 16849917 22466556 33699834 67399668 133640347 267280694 400921041 534561388 801842082 935482429 1202763123 1603684164 1870964858 2405526246 2806447287 3608289369 3741929716 4811052492 5612894574 7216578738 8419341861 11225789148 14433157476 16838683722 25258025583 33677367444 50516051166 101032102332