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101032212132 = 2232101160717291
BaseRepresentation
bin101111000010111111…
…1010011011010100100
3100122210002221011002200
41132011333103122210
53123403221242012
6114225154534500
710204446430215
oct1360577233244
9318702834080
10101032212132
1139936060385
12176b7597430
1396b1617757
144c6619540c
152964b803dc
hex1785fd36a4

101032212132 has 72 divisors (see below), whose sum is σ = 258090985152. Its totient is φ = 33321288000.

The previous prime is 101032212091. The next prime is 101032212143. The reversal of 101032212132 is 231212230101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5834407 + ... + 5851697.

It is an arithmetic number, because the mean of its divisors is an integer number (3584597016).

Almost surely, 2101032212132 is an apocalyptic number.

101032212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101032212132 is an abundant number, since it is smaller than the sum of its proper divisors (157058773020).

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

101032212132 is a wasteful number, since it uses less digits than its factorization.

101032212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009 (or 19004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101032212132 its reverse (231212230101), we get a palindrome (332244442233).

The spelling of 101032212132 in words is "one hundred one billion, thirty-two million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1607 1818 3214 3636 4821 6428 9642 14463 17291 19284 28926 34582 51873 57852 69164 103746 155619 162307 207492 311238 324614 486921 622476 649228 973842 1460763 1746391 1947684 2921526 3492782 5239173 5843052 6985564 10478346 15717519 20956692 27786637 31435038 55573274 62870076 83359911 111146548 166719822 250079733 333439644 500159466 1000318932 2806450337 5612900674 8419351011 11225801348 16838702022 25258053033 33677404044 50516106066 101032212132