Search a number
-
+
201132232110120 = 233517340923688143
BaseRepresentation
bin101101101110110110111111…
…001111110111000000101000
3222101011001110002002200010110
4231232312333033313000220
5202330322302410010440
61551434512153014320
760236216132414553
oct5556667717670050
9871131402080113
10201132232110120
11590a5778579783
121a6849356b43a0
13882c8c39c415c
143794bcdb7169a
15183bd9e5ca080
hexb6edbf3f7028

201132232110120 has 128 divisors (see below), whose sum is σ = 608368389465600. Its totient is φ = 53194849695744.

The previous prime is 201132232110101. The next prime is 201132232110127. The reversal of 201132232110120 is 21011232231102.

It is not an unprimeable number, because it can be changed into a prime (201132232110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3353232 + ... + 20334911.

It is an arithmetic number, because the mean of its divisors is an integer number (4752878042700).

Almost surely, 2201132232110120 is an apocalyptic number.

201132232110120 is a gapful number since it is divisible by the number (20) 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 201132232110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304184194732800).

201132232110120 is an abundant number, since it is smaller than the sum of its proper divisors (407236157355480).

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

201132232110120 is a wasteful number, since it uses less digits than its factorization.

201132232110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688739 (or 23688735 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201132232110120 its reverse (21011232231102), we get a palindrome (222143464341222).

The spelling of 201132232110120 in words is "two hundred one trillion, one hundred thirty-two billion, two hundred thirty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 409 519 692 818 865 1038 1227 1384 1636 1730 2045 2076 2454 2595 3272 3460 4090 4152 4908 5190 6135 6920 8180 9816 10380 12270 16360 20760 24540 49080 70757 141514 212271 283028 353785 424542 566056 707570 849084 1061355 1415140 1698168 2122710 2830280 4245420 8490840 23688143 47376286 71064429 94752572 118440715 142128858 189505144 236881430 284257716 355322145 473762860 568515432 710644290 947525720 1421288580 2842577160 4098048739 8196097478 9688450487 12294146217 16392194956 19376900974 20490243695 24588292434 29065351461 32784389912 38753801948 40980487390 48442252435 49176584868 58130702922 61470731085 77507603896 81960974780 96884504870 98353169736 116261405844 122941462170 145326757305 163921949560 193769009740 232522811688 245882924340 290653514610 387538019480 491765848680 581307029220 1162614058440 1676101934251 3352203868502 5028305802753 6704407737004 8380509671255 10056611605506 13408815474008 16761019342510 20113223211012 25141529013765 33522038685020 40226446422024 50283058027530 67044077370040 100566116055060 201132232110120