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10202000211 = 3213313737541
BaseRepresentation
bin10011000000001011…
…00010101101010011
3222022222212022022200
421200011202231103
5131343203001321
64404200134243
7510546366564
oct114005425523
928288768280
1010202000211
114365843837
121b88767383
13c677c5020
146cad0616b
153ea9aed26
hex260162b53

10202000211 has 48 divisors (see below), whose sum is σ = 16427803392. Its totient is φ = 6058540800.

The previous prime is 10202000189. The next prime is 10202000231. The reversal of 10202000211 is 11200020201.

It is not a de Polignac number, because 10202000211 - 210 = 10201999187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10202000193 and 10202000202.

It is not an unprimeable number, because it can be changed into a prime (10202000231) 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, 1349101 + ... + 1356641.

It is an arithmetic number, because the mean of its divisors is an integer number (342245904).

Almost surely, 210202000211 is an apocalyptic number.

10202000211 is a deficient number, since it is larger than the sum of its proper divisors (6225803181).

10202000211 is a wasteful number, since it uses less digits than its factorization.

10202000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7964 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202000211 its reverse (11200020201), we get a palindrome (21402020412).

The spelling of 10202000211 in words is "ten billion, two hundred two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 13 31 39 93 117 279 373 403 1119 1209 3357 3627 4849 7541 11563 14547 22623 34689 43641 67869 98033 104067 150319 233771 294099 450957 701313 882297 1352871 2103939 2812793 3039023 8438379 9117069 25315137 27351207 36566309 87196583 109698927 261589749 329096781 784769247 1133555579 3400666737 10202000211