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10122002202 = 23131925127211
BaseRepresentation
bin10010110110101000…
…10111111100011010
3222010102022222200110
421123110113330122
5131212213032302
64352221345150
7505555412334
oct113324277432
928112288613
1010122002202
114324674084
121b65a081b6
13c54065820
146c0440454
153e395bb6c
hex25b517f1a

10122002202 has 64 divisors (see below), whose sum is σ = 23040944640. Its totient is φ = 2938680000.

The previous prime is 10122002201. The next prime is 10122002227. The reversal of 10122002202 is 20220022101.

It is not an unprimeable number, because it can be changed into a prime (10122002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358377 + ... + 385587.

It is an arithmetic number, because the mean of its divisors is an integer number (360014760).

Almost surely, 210122002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520472320).

10122002202 is an abundant number, since it is smaller than the sum of its proper divisors (12918942438).

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

10122002202 is a wasteful number, since it uses less digits than its factorization.

10122002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27499.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10122002202 its reverse (20220022101), we get a palindrome (30342024303).

The spelling of 10122002202 in words is "ten billion, one hundred twenty-two million, two thousand, two hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 251 494 502 741 753 1482 1506 3263 4769 6526 9538 9789 14307 19578 27211 28614 54422 61997 81633 123994 163266 185991 353743 371982 517009 707486 1034018 1061229 1551027 2122458 3102054 6721117 6829961 13442234 13659922 20163351 20489883 40326702 40979766 88789493 129769259 177578986 259538518 266368479 389307777 532736958 778615554 1687000367 3374000734 5061001101 10122002202