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10022120021000 = 235311117901513
BaseRepresentation
bin1001000111010111010011…
…1001110101110000001000
31022111002211202221202011102
42101311310321311300020
52303200300211133000
633152033125520532
72053034322412403
oct221656471656010
938432752852142
1010022120021000
1132143a252620a
12115a42b873148
1357910ab10b49
14269104bd2d3a
15125a71d7d3d5
hex91d74e75c08

10022120021000 has 64 divisors (see below), whose sum is σ = 23453896405680. Its totient is φ = 4008482956800.

The previous prime is 10022120020987. The next prime is 10022120021003. The reversal of 10022120021000 is 12002122001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 833061449284 + 9189058571716 = 912722^2 + 3031346^2 .

It is not an unprimeable number, because it can be changed into a prime (10022120021003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10666244 + ... + 11567756.

Almost surely, 210022120021000 is an apocalyptic number.

10022120021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022120021000 is an abundant number, since it is smaller than the sum of its proper divisors (13431776384680).

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

10022120021000 is a wasteful number, since it uses less digits than its factorization.

10022120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912651 (or 912637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022120021000 its reverse (12002122001), we get a palindrome (10034122143001).

The spelling of 10022120021000 in words is "ten trillion, twenty-two billion, one hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11117 22234 44468 55585 88936 111170 222340 277925 444680 555850 901513 1111700 1389625 1803026 2223400 2779250 3606052 4507565 5558500 7212104 9015130 11117000 18030260 22537825 36060520 45075650 90151300 112689125 180302600 225378250 450756500 901513000 10022120021 20044240042 40088480084 50110600105 80176960168 100221200210 200442400420 250553000525 400884800840 501106001050 1002212002100 1252765002625 2004424004200 2505530005250 5011060010500 10022120021000