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10202000011 = 719715411997
BaseRepresentation
bin10011000000001011…
…00010101010001011
3222022222212022001021
421200011202222023
5131343203000021
64404200133311
7510546366160
oct114005425213
928288768037
1010202000011
114365843675
121b88767237
13c677c4bc8
146cad06067
153ea9aec41
hex260162a8b

10202000011 has 32 divisors (see below), whose sum is σ = 12475192320. Its totient is φ = 8148470400.

The previous prime is 10201999993. The next prime is 10202000027. The reversal of 10202000011 is 11000020201.

It is not a de Polignac number, because 10202000011 - 213 = 10201991819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201999958 and 10202000003.

It is not an unprimeable number, because it can be changed into a prime (10202000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5107665 + ... + 5109661.

It is an arithmetic number, because the mean of its divisors is an integer number (389849760).

Almost surely, 210202000011 is an apocalyptic number.

10202000011 is a deficient number, since it is larger than the sum of its proper divisors (2273192309).

10202000011 is a wasteful number, since it uses less digits than its factorization.

10202000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10202000011 its reverse (11000020201), we get a palindrome (21202020212).

The spelling of 10202000011 in words is "ten billion, two hundred two million, eleven", and thus it is an aban number.

Divisors: 1 7 19 71 133 497 541 1349 1997 3787 9443 10279 13979 37943 38411 71953 141787 265601 268877 729809 992509 1080377 2693953 5108663 7562639 18857671 20527163 76706767 143690141 536947369 1457428573 10202000011