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90020002102101 = 32192089836330133
BaseRepresentation
bin10100011101111101101010…
…001111110111101101010101
3102210201211100201120100020200
4110131331222033313231111
543244341431014231401
6515242341300051113
724650505366525261
oct2435755217675525
9383654321510220
1090020002102101
11267572a5408555
12a11a590693a99
133b2cb07c500c6
141832dc43950a1
15a619608b0686
hex51df6a3f7b55

90020002102101 has 48 divisors (see below), whose sum is σ = 136958957678400. Its totient is φ = 56818841147136.

The previous prime is 90020002102073. The next prime is 90020002102103. The reversal of 90020002102101 is 10120120002009.

It is not a de Polignac number, because 90020002102101 - 213 = 90020002093909 is a prime.

It is a super-2 number, since 2×900200021021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90020002102103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2987407431 + ... + 2987437563.

It is an arithmetic number, because the mean of its divisors is an integer number (2853311618300).

Almost surely, 290020002102101 is an apocalyptic number.

It is an amenable number.

90020002102101 is a deficient number, since it is larger than the sum of its proper divisors (46938955576299).

90020002102101 is a wasteful number, since it uses less digits than its factorization.

90020002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40610 (or 40607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 90020002102101 in words is "ninety trillion, twenty billion, two million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 19 57 171 2089 6267 8363 18801 25089 30133 39691 75267 90399 119073 158897 271197 357219 476691 572527 1430073 1717581 5152743 17470307 52410921 62947837 157232763 188843511 252002279 331935833 566530533 756006837 995807499 1196008903 2268020511 2987422497 3588026709 4788043301 10764080127 14364129903 43092389709 526432760831 1579298282493 4737894847479 10002222455789 30006667367367 90020002102101