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21022120100 = 2252172727409
BaseRepresentation
bin10011100101000001…
…000001100010100100
32000021001211100102202
4103211001001202210
5321023130320400
613354000554032
71342643033612
oct234501014244
960231740382
1021022120100
118a08490a83
1240a8322918
131ca038b227
141035d506b2
1583086b4d5
hex4e50418a4

21022120100 has 54 divisors (see below), whose sum is σ = 48459326790. Its totient is φ = 7914199040.

The previous prime is 21022120043. The next prime is 21022120121. The reversal of 21022120100 is 102122012.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 27269284 + 20994850816 = 5222^2 + 144896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 334805 + ... + 392604.

Almost surely, 221022120100 is an apocalyptic number.

21022120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022120100 is an abundant number, since it is smaller than the sum of its proper divisors (27437206690).

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

21022120100 is a wasteful number, since it uses less digits than its factorization.

21022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727457 (or 727433 counting only the distinct ones).

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

Adding to 21022120100 its reverse (102122012), we get a palindrome (21124242112).

The spelling of 21022120100 in words is "twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 727409 1454818 2909636 3637045 7274090 12365953 14548180 18185225 24731906 36370450 49463812 61829765 72740900 123659530 210221201 247319060 309148825 420442402 618297650 840884804 1051106005 1236595300 2102212010 4204424020 5255530025 10511060050 21022120100