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102233220130132 = 227132103228191957
BaseRepresentation
bin10111001111101100000110…
…110001010010010101010100
3111101222101210212222112020021
4113033230012301102111110
5101344442113323131012
61001233143140314524
730351051333063550
oct2717540661222524
9441871725875207
10102233220130132
112a635957604663
12b5715966a2a44
13450772225a800
141b36185736860
15bc44c23c3007
hex5cfb06c52554

102233220130132 has 144 divisors (see below), whose sum is σ = 223654485879552. Its totient is φ = 40033257937920.

The previous prime is 102233220130123. The next prime is 102233220130147. The reversal of 102233220130132 is 231031022332201.

It is a junction number, because it is equal to n+sod(n) for n = 102233220130097 and 102233220130106.

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, 1111704298 + ... + 1111796254.

Almost surely, 2102233220130132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102233220130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111827242939776).

102233220130132 is an abundant number, since it is smaller than the sum of its proper divisors (121421265749420).

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

102233220130132 is a wasteful number, since it uses less digits than its factorization.

102233220130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94378 (or 94363 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 102233220130132 its reverse (231031022332201), we get a palindrome (333264242462333).

The spelling of 102233220130132 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred twenty million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 169 182 206 338 364 412 676 721 1183 1339 1442 2281 2366 2678 2884 4562 4732 5356 9124 9373 15967 17407 18746 29653 31934 34814 37492 59306 63868 69628 91957 118612 121849 183914 207571 234943 243698 367828 385489 415142 469886 487396 643699 770978 830284 939772 1195441 1287398 1541956 1644601 2390882 2574796 2698423 3054259 3289202 4781764 5396846 6108518 6578404 8368087 9471571 10793692 12217036 15540733 16736174 18943142 21379813 31081466 33472348 37886284 39705367 42759626 62162932 66300997 79410734 85519252 108785131 123130423 132601994 158821468 209753917 217570262 246260846 265203988 277937569 419507834 435140524 492521692 555875138 839015668 861912961 1111750276 1468277419 1600695499 1723825922 2726800921 2936554838 3201390998 3447651844 5453601842 5873109676 6402781996 10907203684 11204868493 19087606447 21604653451 22409736986 35448411973 38175212894 43209306902 44819473972 70896823946 76350425788 86418613804 141793647892 151232574157 248138883811 280860494863 302465148314 496277767622 561720989726 604930296628 992555535244 1123441979452 1966023464041 3651186433219 3932046928082 7302372866438 7864093856164 14604745732876 25558305032533 51116610065066 102233220130132