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21772267102 = 21031493312143
BaseRepresentation
bin10100010001101110…
…100110111001011110
32002012100100202200001
4110101232212321132
5324042200021402
614000235124514
71400352134245
oct242156467136
962170322601
1021772267102
119262971583
1242775a373a
13208c9078b1
1410a781d95c
15876647187
hex511ba6e5e

21772267102 has 32 divisors (see below), whose sum is σ = 33312614400. Its totient is φ = 10670758560.

The previous prime is 21772267063. The next prime is 21772267103. The reversal of 21772267102 is 20176227712.

It is a super-2 number, since 2×217722671022 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21772267103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10158643 + ... + 10160785.

It is an arithmetic number, because the mean of its divisors is an integer number (1041019200).

Almost surely, 221772267102 is an apocalyptic number.

21772267102 is a deficient number, since it is larger than the sum of its proper divisors (11540347298).

21772267102 is a wasteful number, since it uses less digits than its factorization.

21772267102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 21772267102 in words is "twenty-one billion, seven hundred seventy-two million, two hundred sixty-seven thousand, one hundred two".

Divisors: 1 2 103 149 206 298 331 662 2143 4286 15347 30694 34093 49319 68186 98638 220729 319307 441458 638614 709333 1418666 5079857 10159714 32888621 65777242 73061299 105690617 146122598 211381234 10886133551 21772267102