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10222111210100 = 2252412924756869
BaseRepresentation
bin1001010011000000010101…
…0011101011101001110100
31100012020001111122210101012
42110300011103223221310
52314434340432210400
633423550103051352
72103344305441556
oct224600523535164
940166044583335
1010222111210100
11329119a319679
121191144440b58
13591c3036676a
14274a77a5d4d6
1512ad79661d35
hex94c054eba74

10222111210100 has 36 divisors (see below), whose sum is σ = 22187354462700. Its totient is φ = 4087854044160.

The previous prime is 10222111210037. The next prime is 10222111210109. The reversal of 10222111210100 is 101211122201.

It can be written as a sum of positive squares in 6 ways, for example, as 42910293904 + 10179200916196 = 207148^2 + 3190486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222111210109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11965535 + ... + 12791334.

Almost surely, 210222111210100 is an apocalyptic number.

10222111210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222111210100 is an abundant number, since it is smaller than the sum of its proper divisors (11965243252600).

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

10222111210100 is a wasteful number, since it uses less digits than its factorization.

10222111210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24761012 (or 24761005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10222111210100 its reverse (101211122201), we get a palindrome (10323322332301).

The spelling of 10222111210100 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4129 8258 16516 20645 41290 82580 103225 206450 412900 24756869 49513738 99027476 123784345 247568690 495137380 618921725 1237843450 2475686900 102221112101 204442224202 408884448404 511105560505 1022211121010 2044422242020 2555527802525 5111055605050 10222111210100