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101022433220 = 22529332952321
BaseRepresentation
bin101111000010101100…
…1111111111111000100
3100122202102112022221202
41132011121333333010
53123343220330340
6114224205202032
710204300341242
oct1360531777704
9318672468852
10101022433220
1139930591335
12176b4260318
1396ac5a2707
144c64b6b792
152963d9cc15
hex178567ffc4

101022433220 has 48 divisors (see below), whose sum is σ = 219532647600. Its totient is φ = 39003095040.

The previous prime is 101022433217. The next prime is 101022433289. The reversal of 101022433220 is 22334220101.

It can be written as a sum of positive squares in 8 ways, for example, as 5169034816 + 95853398404 = 71896^2 + 309602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101022433192 and 101022433201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904660 + ... + 1956980.

It is an arithmetic number, because the mean of its divisors is an integer number (4573596825).

Almost surely, 2101022433220 is an apocalyptic number.

101022433220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022433220 is an abundant number, since it is smaller than the sum of its proper divisors (118510214380).

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

101022433220 is a wasteful number, since it uses less digits than its factorization.

101022433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55688 (or 55686 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101022433220 its reverse (22334220101), we get a palindrome (123356653321).

The spelling of 101022433220 in words is "one hundred one billion, twenty-two million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3329 6658 13316 16645 33290 52321 66580 96541 104642 193082 209284 261605 386164 482705 523210 965410 1046420 1517309 1930820 3034618 6069236 7586545 15173090 30346180 174176609 348353218 696706436 870883045 1741766090 3483532180 5051121661 10102243322 20204486644 25255608305 50511216610 101022433220