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102230423022 = 237133725120161
BaseRepresentation
bin101111100110101101…
…0000111010111101110
3100202212121120120102210
41133031122013113232
53133331442014042
6114544120431250
710246236154350
oct1371532072756
9322777516383
10102230423022
113a3a0454a12
1217990918526
139842933790
144d3b37b0d0
1529d4e65a9c
hex17cd6875ee

102230423022 has 128 divisors (see below), whose sum is σ = 259487843328. Its totient is φ = 26127360000.

The previous prime is 102230422951. The next prime is 102230423033. The reversal of 102230423022 is 220324032201.

102230423022 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022304230222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102230423022.

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 63 ways as a sum of consecutive naturals, for example, 5060622 + ... + 5080782.

It is an arithmetic number, because the mean of its divisors is an integer number (2027248776).

Almost surely, 2102230423022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230423022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129743921664).

102230423022 is an abundant number, since it is smaller than the sum of its proper divisors (157257420306).

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

102230423022 is a wasteful number, since it uses less digits than its factorization.

102230423022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102230423022 its reverse (220324032201), we get a palindrome (322554455223).

The spelling of 102230423022 in words is "one hundred two billion, two hundred thirty million, four hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 251 259 273 481 502 518 546 753 777 962 1443 1506 1554 1757 2886 3263 3367 3514 5271 6526 6734 9287 9789 10101 10542 18574 19578 20161 20202 22841 27861 40322 45682 55722 60483 65009 68523 120731 120966 130018 137046 141127 195027 241462 262093 282254 362193 390054 423381 524186 724386 745957 786279 845117 846762 1491914 1572558 1690234 1834651 2237871 2535351 3669302 4475742 5060411 5070702 5221699 5503953 9697441 10120822 10443398 11007906 15181233 15665097 19394882 29092323 30362466 31330194 35422877 58184646 65785343 67882087 70845754 106268631 131570686 135764174 187235207 197356029 203646261 212537262 374470414 394712058 407292522 460497401 561705621 920994802 1123411242 1310646449 1381492203 2434057691 2621292898 2762984406 3931939347 4868115382 7302173073 7863878694 14604346146 17038403837 34076807674 51115211511 102230423022