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10101012210 = 2325373379001
BaseRepresentation
bin10010110100001000…
…10011011011110010
3222001221211120211100
421122010103123302
5131141324342320
64350151425230
7505212121122
oct113204233362
928057746740
1010101012210
114313837a83
121b5a985216
13c4c8c6903
146bb738c82
153e1bb2790
hex25a1136f2

10101012210 has 96 divisors (see below), whose sum is σ = 27055474992. Its totient is φ = 2612736000.

The previous prime is 10101012209. The next prime is 10101012211. The reversal of 10101012210 is 1221010101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10101012209) and next prime (10101012211).

It can be written as a sum of positive squares in 8 ways, for example, as 3674905641 + 6426106569 = 60621^2 + 80163^2 .

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 = 10101012192 and 10101012201.

It is not an unprimeable number, because it can be changed into a prime (10101012211) 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, 1117710 + ... + 1126710.

Almost surely, 210101012210 is an apocalyptic number.

10101012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527737496).

10101012210 is an abundant number, since it is smaller than the sum of its proper divisors (16954462782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101012210 is a wasteful number, since it uses less digits than its factorization.

10101012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101012210 its reverse (1221010101), we get a palindrome (11322022311).

The spelling of 10101012210 in words is "ten billion, one hundred one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 337 370 555 666 674 1011 1110 1665 1685 2022 3033 3330 3370 5055 6066 9001 10110 12469 15165 18002 24938 27003 30330 37407 45005 54006 62345 74814 81009 90010 112221 124690 135015 162018 187035 224442 270030 333037 374070 405045 561105 666074 810090 999111 1122210 1665185 1998222 2997333 3033337 3330370 4995555 5994666 6066674 9100011 9991110 14986665 15166685 18200022 27300033 29973330 30333370 45500055 54600066 91000110 112233469 136500165 224466938 273000330 336700407 561167345 673400814 1010101221 1122334690 1683502035 2020202442 3367004070 5050506105 10101012210