Search a number
-
+
1220101131 = 31931690493
BaseRepresentation
bin100100010111001…
…0100010000001011
310011000211120002210
41020232110100023
54444321214011
6321023000203
742143455104
oct11056242013
93130746083
101220101131
11576796047
122a0739063
13165a11942
14b80833ab
15721ab6a6
hex48b9440b

1220101131 has 16 divisors (see below), whose sum is σ = 1767664640. Its totient is φ = 745731360.

The previous prime is 1220101123. The next prime is 1220101139. The reversal of 1220101131 is 1311010221.

It is an interprime number because it is at equal distance from previous prime (1220101123) and next prime (1220101139).

It is not a de Polignac number, because 1220101131 - 23 = 1220101123 is a prime.

It is a super-3 number, since 3×12201011313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1220101139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343480 + ... + 347013.

It is an arithmetic number, because the mean of its divisors is an integer number (110479040).

Almost surely, 21220101131 is an apocalyptic number.

1220101131 is a deficient number, since it is larger than the sum of its proper divisors (547563509).

1220101131 is a wasteful number, since it uses less digits than its factorization.

1220101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690546.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1220101131 is about 34929.9460491997. The cubic root of 1220101131 is about 1068.5592543277.

Adding to 1220101131 its reverse (1311010221), we get a palindrome (2531111352).

The spelling of 1220101131 in words is "one billion, two hundred twenty million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 19 31 57 93 589 1767 690493 2071479 13119367 21405283 39358101 64215849 406700377 1220101131