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101210002032 = 2437328884133
BaseRepresentation
bin101111001000010010…
…1100001001001110000
3100200020111110210222210
41132100211201021300
53124234230031112
6114254545332120
710212035552136
oct1362045411160
9320214423883
10101210002032
1139a17453587
1217747037040
13970c3c6689
144c81a35756
15297559db3c
hex1790961270

101210002032 has 40 divisors (see below), whose sum is σ = 265040813584. Its totient is φ = 33274520064.

The previous prime is 101210002031. The next prime is 101210002067. The reversal of 101210002032 is 230200012101.

It is a super-2 number, since 2×1012100020322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101210001999 and 101210002017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210002031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14438563 + ... + 14445570.

Almost surely, 2101210002032 is an apocalyptic number.

101210002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210002032 is an abundant number, since it is smaller than the sum of its proper divisors (163830811552).

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

101210002032 is a wasteful number, since it uses less digits than its factorization.

101210002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28884217 (or 28884211 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101210002032 its reverse (230200012101), we get a palindrome (331410014133).

The spelling of 101210002032 in words is "one hundred one billion, two hundred ten million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 28884133 57768266 86652399 115536532 173304798 231073064 346609596 462146128 693219192 1386438384 2108541709 4217083418 6325625127 8434166836 12651250254 16868333672 25302500508 33736667344 50605001016 101210002032