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403220000102420 = 22571224145736313
BaseRepresentation
bin101101110101110011111100…
…0110111110101100000010100
31221212200110022002112112211102
41123223213320313311200110
5410322324030011234140
63545324413312125232
7150634453331125064
oct13353477067654024
91855613262475742
10403220000102420
11107529707152536
12392828a2236818
13143cb637aac247
14717dd489333a4
153193a26a82e15
hex16eb9f8df5814

403220000102420 has 144 divisors (see below), whose sum is σ = 864330854139984. Its totient is φ = 158005654732800.

The previous prime is 403220000102419. The next prime is 403220000102449. The reversal of 403220000102420 is 24201000022304.

It can be written as a sum of positive squares in 8 ways, for example, as 1252707131536 + 401967292970884 = 1119244^2 + 20049122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 403220000102392 and 403220000102401.

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, 11103994184 + ... + 11104030496.

Almost surely, 2403220000102420 is an apocalyptic number.

It is an amenable number.

403220000102420 is an abundant number, since it is smaller than the sum of its proper divisors (461110854037564).

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

403220000102420 is a wasteful number, since it uses less digits than its factorization.

403220000102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37162 (or 37089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 403220000102420 its reverse (24201000022304), we get a palindrome (427421000124724).

The spelling of 403220000102420 in words is "four hundred three trillion, two hundred twenty billion, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 241 284 355 457 482 710 914 964 1205 1420 1828 2285 2410 4570 4820 5041 9140 10082 17111 20164 25205 32447 34222 36313 50410 64894 68444 72626 85555 100820 110137 129788 145252 162235 171110 181565 220274 324470 342220 363130 440548 550685 648940 726260 1101370 1214881 2202740 2303737 2429762 2578223 4607474 4859524 5156446 6074405 7819727 8751433 9214948 10312892 11518685 12148810 12891115 15639454 16595041 17502866 23037370 24297620 25782230 31278908 33190082 35005732 39098635 43757165 46074740 51564460 66380164 78197270 82975205 87514330 156394540 165950410 175028660 183053833 331900820 366107666 555200617 621351743 732215332 915269165 1110401234 1178247911 1242703486 1830538330 2220802468 2356495822 2485406972 2776003085 3106758715 3661076660 3999404881 4712991644 5552006170 5891239555 6213517430 7998809762 11104012340 11782479110 12427034860 15997619524 19997024405 23564958220 39994048810 44115973753 79988097620 83655601681 88231947506 167311203362 176463895012 220579868765 283957746551 334622406724 418278008405 441159737530 567915493102 836556016810 882319475060 1135830986204 1419788732755 1673112033620 2839577465510 5679154931020 20161000005121 40322000010242 80644000020484 100805000025605 201610000051210 403220000102420