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102210152044 = 2271113179142609
BaseRepresentation
bin101111100110000110…
…0110010011001101100
3100202211012102200212211
41133030030302121230
53133311244331134
6114542114140204
710245601646320
oct1371414623154
9322735380784
10102210152044
113a38aa6a040
1217985b81664
13983b686c10
144d387c1980
1529d32ae764
hex17cc33266c

102210152044 has 96 divisors (see below), whose sum is σ = 241501478400. Its totient is φ = 36553282560.

The previous prime is 102210152041. The next prime is 102210152137. The reversal of 102210152044 is 440251012201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102210152041) 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, 645412 + ... + 788020.

It is an arithmetic number, because the mean of its divisors is an integer number (2515640400).

Almost surely, 2102210152044 is an apocalyptic number.

102210152044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210152044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120750739200).

102210152044 is an abundant number, since it is smaller than the sum of its proper divisors (139291326356).

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

102210152044 is a wasteful number, since it uses less digits than its factorization.

102210152044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142823 (or 142821 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 102210152044 its reverse (440251012201), we get a palindrome (542461164245).

The spelling of 102210152044 in words is "one hundred two billion, two hundred ten million, one hundred fifty-two thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 179 182 286 308 358 364 572 716 1001 1253 1969 2002 2327 2506 3938 4004 4654 5012 7876 9308 13783 16289 25597 27566 32578 51194 55132 65156 102388 142609 179179 285218 358358 570436 716716 998263 1568699 1853917 1996526 3137398 3707834 3993052 6274796 7415668 10980893 12977419 20393087 21961786 25527011 25954838 40786174 43923572 51054022 51909676 81572348 102108044 142751609 178689077 280797121 285503218 331851143 357378154 561594242 571006436 663702286 714756308 1123188484 1327404572 1965579847 2322958001 3650362573 3931159694 4645916002 7300725146 7862319388 9291832004 14601450292 25552538011 51105076022 102210152044