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20019703081 = 72172292412
BaseRepresentation
bin10010101001010001…
…000110110100101001
31220200012121021210111
4102221101012310221
5312000020444311
613110311414321
71306051445200
oct225121066451
956605537714
1020019703081
118543667264
123a686843a1
131b707b5b71
14d7cb74237
157c285dd21
hex4a9446d29

20019703081 has 81 divisors (see below), whose sum is σ = 26261326767. Its totient is φ = 15213112320.

The previous prime is 20019703069. The next prime is 20019703133. The reversal of 20019703081 is 18030791002.

The square root of 20019703081 is 141491.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14707625625 + 5312077456 = 121275^2 + 72884^2 .

It is not a de Polignac number, because 20019703081 - 27 = 20019702953 is a prime.

It is a super-2 number, since 2×200197030812 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20019703031) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 488285421 + ... + 488285461.

Almost surely, 220019703081 is an apocalyptic number.

20019703081 is the 141491-st square number.

20019703081 is the 70746-th centered octagonal number.

It is an amenable number.

20019703081 is a deficient number, since it is larger than the sum of its proper divisors (6241623686).

20019703081 is an equidigital number, since it uses as much as digits as its factorization.

20019703081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 20019703081 in words is "twenty billion, nineteen million, seven hundred three thousand, eighty-one".

Divisors: 1 7 17 29 41 49 119 203 287 289 493 697 833 841 1189 1421 1681 2009 2023 3451 4879 5887 8323 8381 11767 11849 14161 14297 20213 24157 28577 34153 34481 41209 48749 58261 58667 82369 82943 100079 141491 200039 241367 243049 341243 343621 410669 485809 580601 586177 700553 828733 990437 1400273 1413721 1689569 1701343 2388701 2405347 3400663 4103239 5801131 9896047 9965009 11909401 14088461 16837429 23804641 24033257 28722673 40607917 69272329 69755063 98619227 168232799 408565369 488285441 690334589 1177629593 2859957583 20019703081