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1132211132031 = 37739169343093
BaseRepresentation
bin10000011110011101000…
…010101101011001111111
311000020102201222211000210
4100132131002231121333
5122022232022211111
62224044113523503
7144541150555320
oct20363502553177
94006381884023
101132211132031
113a7193738271
1216351b273593
13829c829b905
143cb2944a447
151e6b87950a6
hex1079d0ad67f

1132211132031 has 32 divisors (see below), whose sum is σ = 1728669268480. Its totient is φ = 645705696384.

The previous prime is 1132211132027. The next prime is 1132211132047. The reversal of 1132211132031 is 1302311122311.

It is not a de Polignac number, because 1132211132031 - 22 = 1132211132027 is a prime.

It is a super-2 number, since 2×11322111320312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1132211131989 and 1132211132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132211132081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26252121 + ... + 26295213.

It is an arithmetic number, because the mean of its divisors is an integer number (54020914640).

Almost surely, 21132211132031 is an apocalyptic number.

1132211132031 is a deficient number, since it is larger than the sum of its proper divisors (596458136449).

1132211132031 is a wasteful number, since it uses less digits than its factorization.

1132211132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45535.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1132211132031 its reverse (1302311122311), we get a palindrome (2434522254342).

The spelling of 1132211132031 in words is "one trillion, one hundred thirty-two billion, two hundred eleven million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 21 739 1693 2217 5079 5173 11851 15519 35553 43093 129279 301651 904953 1251127 3753381 8757889 26273667 31845727 72956449 95537181 218869347 222920089 510695143 668760267 1532085429 53914815811 161744447433 377403710677 1132211132031