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201013022220432 = 24337308936640663
BaseRepresentation
bin101101101101000111111101…
…110010001110000010010000
3222100201122202010122211012220
4231231013331302032002100
5202321344132142023212
61551304035123221040
760224466036156012
oct5555077562160220
9870648663584186
10201013022220432
115905a164710194
121a665806517780
1388215a64093a6
14378d12173c1b2
151838c23b9638c
hexb6d1fdc8e090

201013022220432 has 80 divisors (see below), whose sum is σ = 533490999093120. Its totient is φ = 65172305811456.

The previous prime is 201013022220419. The next prime is 201013022220467. The reversal of 201013022220432 is 234022220310102.

201013022220432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12834268 + ... + 23806395.

It is an arithmetic number, because the mean of its divisors is an integer number (6668637488664).

Almost surely, 2201013022220432 is an apocalyptic number.

It is an amenable number.

201013022220432 is an abundant number, since it is smaller than the sum of its proper divisors (332477976872688).

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

201013022220432 is a wasteful number, since it uses less digits than its factorization.

201013022220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36643800 (or 36643794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201013022220432 its reverse (234022220310102), we get a palindrome (435035242530534).

The spelling of 201013022220432 in words is "two hundred one trillion, thirteen billion, twenty-two million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3089 6178 9267 12356 18534 24712 37068 49424 74136 114293 148272 228586 342879 457172 685758 914344 1371516 1828688 2743032 5486064 36640663 73281326 109921989 146562652 219843978 293125304 439687956 586250608 879375912 1355704531 1758751824 2711409062 4067113593 5422818124 8134227186 10845636248 16268454372 21691272496 32536908744 65073817488 113183008007 226366016014 339549024021 452732032028 679098048042 905464064056 1358196096084 1810928128112 2716392192168 4187771296259 5432784384336 8375542592518 12563313888777 16751085185036 25126627777554 33502170370072 50253255555108 67004340740144 100506511110216 201013022220432