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10100022012 = 2232280556167
BaseRepresentation
bin10010110100000001…
…00001101011111100
3222001212222021112100
421122000201223330
5131141101201022
64350114305100
7505200525213
oct113200415374
928055867470
1010100022012
114313221033
121b5a588190
13c4c63acb2
146bb55c07a
153e1a691ac
hex25a021afc

10100022012 has 18 divisors (see below), whose sum is σ = 25530611288. Its totient is φ = 3366673992.

The previous prime is 10100021983. The next prime is 10100022017. The reversal of 10100022012 is 21022000101.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100021985 and 10100022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140278048 + ... + 140278119.

Almost surely, 210100022012 is an apocalyptic number.

10100022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100022012 is an abundant number, since it is smaller than the sum of its proper divisors (15430589276).

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

10100022012 is a wasteful number, since it uses less digits than its factorization.

10100022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280556177 (or 280556172 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100022012 its reverse (21022000101), we get a palindrome (31122022113).

The spelling of 10100022012 in words is "ten billion, one hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 280556167 561112334 841668501 1122224668 1683337002 2525005503 3366674004 5050011006 10100022012