Search a number
-
+
10122012002102 = 27111321521234931
BaseRepresentation
bin1001001101001011011011…
…1011100000011100110110
31022211122200102100011100012
42103102312323200130312
52311314340033031402
633305553233420222
72063201615300120
oct223226673403466
938748612304305
1010122012002102
1132527a29930a0
12117586940a672
1358566a12cb80
1426dc9d776210
1512846b87c452
hex934b6ee0736

10122012002102 has 64 divisors (see below), whose sum is σ = 20386624624128. Its totient is φ = 3640099392000.

The previous prime is 10122012002099. The next prime is 10122012002111. The reversal of 10122012002102 is 20120021022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42967577 + ... + 43202507.

It is an arithmetic number, because the mean of its divisors is an integer number (318541009752).

Almost surely, 210122012002102 is an apocalyptic number.

10122012002102 is an abundant number, since it is smaller than the sum of its proper divisors (10264612622026).

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

10122012002102 is a wasteful number, since it uses less digits than its factorization.

10122012002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256485.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122012002102 its reverse (20120021022101), we get a palindrome (30242033024203).

The spelling of 10122012002102 in words is "ten trillion, one hundred twenty-two billion, twelve million, two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 21521 43042 150647 234931 236731 279773 301294 469862 473462 559546 1644517 1657117 1958411 2584241 3054103 3077503 3289034 3314234 3916822 5168482 6108206 6155006 18089687 21378721 21542521 33595133 36179374 42757442 43085042 67190266 235165931 470331862 5055950051 10111900102 35391650357 55615450561 65727350663 70783300714 111230901122 131454701326 389308153927 460091454641 723000857293 778616307854 920182909282 1446001714586 5061006001051 10122012002102