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10102120221012 = 2231987337507317
BaseRepresentation
bin1001001100000001010101…
…0010011000100101010100
31022202202100010102222112020
42103000111102120211110
52311003120234033022
633252503331453140
72061565646036211
oct223002522304524
938682303388466
1010102120221012
113245315559596
121171a377571b0
13583819cb59c1
1426cd339c0b08
15127ba538b35c
hex93015498954

10102120221012 has 48 divisors (see below), whose sum is σ = 24812558111040. Its totient is φ = 3190100412672.

The previous prime is 10102120221007. The next prime is 10102120221023. The reversal of 10102120221012 is 21012202120101.

It is a junction number, because it is equal to n+sod(n) for n = 10102120220982 and 10102120221000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19659178 + ... + 20166494.

It is an arithmetic number, because the mean of its divisors is an integer number (516928293980).

Almost surely, 210102120221012 is an apocalyptic number.

10102120221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102120221012 is an abundant number, since it is smaller than the sum of its proper divisors (14710437890028).

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

10102120221012 is a wasteful number, since it uses less digits than its factorization.

10102120221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594680 (or 594678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102120221012 its reverse (21012202120101), we get a palindrome (31114322341113).

The spelling of 10102120221012 in words is "ten trillion, one hundred two billion, one hundred twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 87337 174674 262011 349348 507317 524022 1014634 1048044 1521951 1659403 2029268 3043902 3318806 4978209 6087804 6637612 9639023 9956418 19278046 19912836 28917069 38556092 57834138 115668276 44307544829 88615089658 132922634487 177230179316 265845268974 531690537948 841843351751 1683686703502 2525530055253 3367373407004 5051060110506 10102120221012