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10212921481 = 72144372
BaseRepresentation
bin10011000001011110…
…01101000010001001
3222100202102011111011
421200233031002021
5131404001441411
64405230203521
7511041254200
oct114057150211
928322364434
1010212921481
114370a23084
121b903535a1
13c69b4a009
146cc54a237
153eb91ac21
hex260bcd089

10212921481 has 9 divisors (see below), whose sum is σ = 11881160199. Its totient is φ = 8753326344.

The previous prime is 10212921469. The next prime is 10212921487. The reversal of 10212921481 is 18412921201.

The square root of 10212921481 is 101059.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5102959225 + 5109962256 = 71435^2 + 71484^2 .

It is not a de Polignac number, because 10212921481 - 221 = 10210824329 is a prime.

It is a super-2 number, since 2×102129214812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212921487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 700195 + ... + 714631.

It is an arithmetic number, because the mean of its divisors is an integer number (1320128911).

Almost surely, 210212921481 is an apocalyptic number.

10212921481 is the 101059-th square number.

10212921481 is the 50530-th centered octagonal number.

It is an amenable number.

10212921481 is a deficient number, since it is larger than the sum of its proper divisors (1668238718).

10212921481 is an frugal number, since it uses more digits than its factorization.

10212921481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28888 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Multiplying 10212921481 by its product of nonzero digits (2304), we get a square (23530571092224 = 48508322).

The spelling of 10212921481 in words is "ten billion, two hundred twelve million, nine hundred twenty-one thousand, four hundred eighty-one".

Divisors: 1 7 49 14437 101059 707413 208426969 1458988783 10212921481