Search a number
-
+
100232032323222 = 232171572279190933
BaseRepresentation
bin10110110010100100010110…
…101011101000011010010110
3111010220002101200001211111200
4112302210112223220122112
5101114200200233320342
6553101543204413330
730053345125302552
oct2662442653503226
9433802350054450
10100232032323222
1129a34191225978
12b2a97809a7246
1343c0abc8b0b17
141aa738320c862
15b8c3e9eb794c
hex5b2916ae8696

100232032323222 has 96 divisors (see below), whose sum is σ = 232428132904032. Its totient is φ = 31107407864832.

The previous prime is 100232032323209. The next prime is 100232032323271. The reversal of 100232032323222 is 222323230232001.

100232032323222 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 203 + 232 + 3 + 222 = 666.

It is a super-2 number, since 2×1002320323232222 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6310068 + ... + 15501000.

It is an arithmetic number, because the mean of its divisors is an integer number (2421126384417).

Almost surely, 2100232032323222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100232032323222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116214066452016).

100232032323222 is an abundant number, since it is smaller than the sum of its proper divisors (132196100580810).

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

100232032323222 is a wasteful number, since it uses less digits than its factorization.

100232032323222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191342 (or 9191339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 100232032323222 its reverse (222323230232001), we get a palindrome (322555262555223).

The spelling of 100232032323222 in words is "one hundred trillion, two hundred thirty-two billion, thirty-two million, three hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 227 306 314 454 471 681 942 1362 1413 2043 2669 2826 3859 4086 5338 7718 8007 11577 16014 23154 24021 34731 35639 48042 69462 71278 106917 213834 320751 605863 641502 1211726 1817589 3635178 5452767 9190933 10905534 18381866 27572799 55145598 82718397 156245861 165436794 312491722 468737583 937475166 1406212749 1442976481 2086341791 2812425498 2885952962 4172683582 4328929443 6259025373 8657858886 12518050746 12986788329 18777076119 24530600177 25973576658 35467810447 37554152238 49061200354 70935620894 73591800531 106403431341 147183601062 212806862682 220775401593 319210294023 327555661187 441550803186 638420588046 655111322374 982666983561 1965333967122 2948000950683 5568446240179 5896001901366 11136892480358 16705338720537 33410677441074 50116016161611 100232032323222