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132104400104020 = 225233122591115337
BaseRepresentation
bin11110000010010111110011…
…110101110110101001010100
3122022202001112210001220222011
4132002113303311312221110
5114303344302411312040
61144543531255314004
736553141120355611
oct3602276365665124
9568661483056864
10132104400104020
11391021859a4413
121299687437b904
1358935120c7426
142489c5c213508
151041512c1a3ea
hex7825f3d76a54

132104400104020 has 144 divisors (see below), whose sum is σ = 299238310554624. Its totient is φ = 48894528883200.

The previous prime is 132104400103939. The next prime is 132104400104063. The reversal of 132104400104020 is 20401004401231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132104400103982 and 132104400104000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145319792 + ... + 1145435128.

It is an arithmetic number, because the mean of its divisors is an integer number (2078043823296).

Almost surely, 2132104400104020 is an apocalyptic number.

132104400104020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132104400104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149619155277312).

132104400104020 is an abundant number, since it is smaller than the sum of its proper divisors (167133910450604).

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

132104400104020 is a wasteful number, since it uses less digits than its factorization.

132104400104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118022 (or 117989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 132104400104020 its reverse (20401004401231), we get a palindrome (152505404505251).

The spelling of 132104400104020 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 961 1426 1922 2591 2852 3565 3844 4805 5182 7130 9610 10364 12955 14260 19220 22103 25910 44206 51820 59593 80321 88412 110515 115337 119186 160642 221030 230674 238372 297965 321284 401605 442060 461348 576685 595930 803210 1153370 1191860 1606420 1847383 2306740 2489951 2652751 3575447 3694766 4979902 5305502 7150894 7389532 9236915 9959804 10611004 12449755 13263755 14301788 17877235 18473830 24899510 26527510 35754470 36947660 49799020 53055020 57268873 71508940 82235281 110838857 114537746 164470562 221677714 229075492 286344365 298838167 328941124 411176405 443355428 554194285 572688730 597676334 822352810 1108388570 1145377460 1195352668 1494190835 1644705620 2216777140 2549293711 2988381670 5098587422 5976763340 6873277841 9263983177 10197174844 12746468555 13746555682 18527966354 25492937110 27493111364 34366389205 37055932708 46319915885 50985874220 68732778410 92639831770 137465556820 185279663540 213071613071 287183478487 426143226142 574366956974 852286452284 1065358065355 1148733913948 1435917392435 2130716130710 2871834784870 4261432261420 5743669569740 6605220005201 13210440010402 26420880020804 33026100026005 66052200052010 132104400104020