Search a number
-
+
311332203230132 = 227255031155124989
BaseRepresentation
bin100011011001001111010110…
…1011000010111001110110100
31111211100001211112120212211202
41012302132231120113032310
5311301331323011331012
63022052012323552032
7122402003140556300
oct10662365530271664
91454301745525752
10311332203230132
1190222278345107
122ab02324b2b618
1310494668312516
1456c47b7dd6d00
1525ed6e9959cc2
hex11b27ad6173b4

311332203230132 has 72 divisors (see below), whose sum is σ = 633978831790080. Its totient is φ = 133386953515200.

The previous prime is 311332203230131. The next prime is 311332203230137. The reversal of 311332203230132 is 231032302233113.

It is a junction number, because it is equal to n+sod(n) for n = 311332203230095 and 311332203230104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311332203230131) 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, 12458757494 + ... + 12458782482.

It is an arithmetic number, because the mean of its divisors is an integer number (8805261552640).

Almost surely, 2311332203230132 is an apocalyptic number.

It is an amenable number.

311332203230132 is an abundant number, since it is smaller than the sum of its proper divisors (322646628559948).

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

311332203230132 is a wasteful number, since it uses less digits than its factorization.

311332203230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42061 (or 42052 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 311332203230132 its reverse (231032302233113), we get a palindrome (542364505463245).

The spelling of 311332203230132 in words is "three hundred eleven trillion, three hundred thirty-two billion, two hundred three million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 5503 11006 11551 22012 23102 24989 38521 46204 49978 77042 80857 99956 154084 161714 174923 269647 323428 349846 539294 565999 699692 1078588 1131998 1224461 2263996 2448922 4897844 63565153 127130306 137514467 254260612 275028934 288647939 444956071 550057868 577295878 889912142 962601269 1154591756 1779824284 1925202538 2020535573 3114692497 3850405076 4041071146 6229384994 6738208883 8082142292 12458769988 13476417766 14143749011 26952835532 28287498022 56574996044 1588429608317 3176859216634 6353718433268 11119007258219 22238014516438 44476029032876 77833050807533 155666101615066 311332203230132