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10132133022 = 2341167113751
BaseRepresentation
bin10010110111110110…
…00001010010011110
3222011010101200120000
421123323001102132
5131222311224042
64353222435130
7506040465264
oct113373012236
928133350500
1010132133022
11432a363560
121b69292aa6
13c561a1aab
146c191a434
153e47ad74c
hex25bec149e

10132133022 has 160 divisors (see below), whose sum is σ = 25393319424. Its totient is φ = 2993760000.

The previous prime is 10132133017. The next prime is 10132133051. The reversal of 10132133022 is 22033123101.

10132133022 is a `hidden beast` number, since 10 + 1 + 321 + 330 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132132986 and 10132133004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13491147 + ... + 13491897.

Almost surely, 210132133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696659712).

10132133022 is an abundant number, since it is smaller than the sum of its proper divisors (15261186402).

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

10132133022 is a wasteful number, since it uses less digits than its factorization.

10132133022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132133022 its reverse (22033123101), we get a palindrome (32165256123).

It can be divided in two parts, 101 and 32133022, that added together give a palindrome (32133123).

The spelling of 10132133022 in words is "ten billion, one hundred thirty-two million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 81 99 113 134 162 198 201 226 297 339 402 594 603 678 737 751 891 1017 1206 1243 1474 1502 1782 1809 2034 2211 2253 2486 3051 3618 3729 4422 4506 5427 6102 6633 6759 7458 7571 8261 9153 10854 11187 13266 13518 15142 16522 18306 19899 20277 22374 22713 24783 33561 39798 40554 45426 49566 50317 59697 60831 67122 68139 74349 83281 84863 100634 100683 119394 121662 136278 148698 150951 166562 169726 201366 204417 223047 249843 254589 301902 408834 446094 452853 499686 509178 553487 613251 669141 749529 763767 905706 933493 1106974 1226502 1338282 1358559 1499058 1527534 1660461 1866986 2248587 2291301 2717118 2800479 3320922 4075677 4497174 4582602 4981383 5600958 5685821 6745761 6873903 8151354 8401437 9962766 11371642 13491522 13747806 14944149 16802874 17057463 25204311 29888298 34114926 44832447 50408622 51172389 62544031 75612933 89664894 102344778 125088062 151225866 153517167 187632093 307034334 375264186 460551501 562896279 921103002 1125792558 1688688837 3377377674 5066066511 10132133022