Search a number
-
+
102223010110032 = 24327443228920353
BaseRepresentation
bin10111001111100010100110…
…001101001001101001010000
3111101221102110100000202200200
4113033202212031021221100
5101344310211042010112
61001224334052215200
730350240325252240
oct2717424615115120
9441842410022620
10102223010110032
112a631598293419
12b56b60730a500
134506785bb82b6
141b35897743b20
15bc40c5d7bcdc
hex5cf8a6349a50

102223010110032 has 120 divisors (see below), whose sum is σ = 327689414255424. Its totient is φ = 29140645128192.

The previous prime is 102223010110031. The next prime is 102223010110057. The reversal of 102223010110032 is 230011010322201.

102223010110032 is a `hidden beast` number, since 1 + 0 + 222 + 301 + 0 + 110 + 0 + 32 = 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 = 102223010109987 and 102223010110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223010110031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114013633 + ... + 114906720.

Almost surely, 2102223010110032 is an apocalyptic number.

102223010110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102223010110032 is an abundant number, since it is smaller than the sum of its proper divisors (225466404145392).

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

102223010110032 is a wasteful number, since it uses less digits than its factorization.

102223010110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228920817 (or 228920808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102223010110032 its reverse (230011010322201), we get a palindrome (332234020432233).

The spelling of 102223010110032 in words is "one hundred two trillion, two hundred twenty-three billion, ten million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 443 504 886 1008 1329 1772 2658 3101 3544 3987 5316 6202 7088 7974 9303 10632 12404 15948 18606 21264 24808 27909 31896 37212 49616 55818 63792 74424 111636 148848 223272 446544 228920353 457840706 686761059 915681412 1373522118 1602442471 1831362824 2060283177 2747044236 3204884942 3662725648 4120566354 4807327413 5494088472 6409769884 8241132708 9614654826 10988176944 12819539768 14421982239 16482265416 19229309652 25639079536 28843964478 32964530832 38458619304 57687928956 76917238608 101411716379 115375857912 202823432758 230751715824 304235149137 405646865516 608470298274 709882014653 811293731032 912705447411 1216940596548 1419764029306 1622587462064 1825410894822 2129646043959 2433881193096 2839528058612 3650821789644 4259292087918 4867762386192 5679056117224 6388938131877 7301643579288 8518584175836 11358112234448 12777876263754 14603287158576 17037168351672 25555752527508 34074336703344 51111505055016 102223010110032