Search a number
-
+
1131012011031 = 371944315714073
BaseRepresentation
bin10000011101010101100…
…100011011010000010111
311000010100011122011020220
4100131111210123100113
5122012303033323111
62223325120325423
7144466350320610
oct20352544332027
94003304564226
101131012011031
113a6728881981
12163245773873
1382866a24566
143ca540a8c07
151e64837ee06
hex1075591b417

1131012011031 has 64 divisors (see below), whose sum is σ = 1819853844480. Its totient is φ = 610356314880.

The previous prime is 1131012011021. The next prime is 1131012011039. The reversal of 1131012011031 is 1301102101311.

It is not a de Polignac number, because 1131012011031 - 211 = 1131012008983 is a prime.

It is a super-2 number, since 2×11310120110312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131012011031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131012011039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277683211 + ... + 277687283.

It is an arithmetic number, because the mean of its divisors is an integer number (28435216320).

Almost surely, 21131012011031 is an apocalyptic number.

1131012011031 is a deficient number, since it is larger than the sum of its proper divisors (688841833449).

1131012011031 is a wasteful number, since it uses less digits than its factorization.

1131012011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1131012011031 its reverse (1301102101311), we get a palindrome (2432114112342).

The spelling of 1131012011031 in words is "one trillion, one hundred thirty-one billion, twelve million, eleven thousand, thirty-one".

Divisors: 1 3 7 19 21 57 133 399 443 1329 1571 3101 4073 4713 8417 9303 10997 12219 25251 28511 29849 32991 58919 77387 85533 89547 176757 208943 232161 541709 626829 695953 1625127 1804339 2087859 4871671 5413017 6398683 12630373 13223107 14615013 19196049 34282441 37891119 39669321 44790781 92561749 102847323 121574977 134372343 239977087 277685247 364724931 719931261 851024839 2553074517 2834616569 8503849707 19842315983 53857714811 59526947949 161573144433 377004003677 1131012011031