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11331130213032 = 2337263671513321
BaseRepresentation
bin1010010011100011101111…
…1111011100001010101000
31111010020121221120101020120
42210320323333130022220
52441122123313304112
640033241021123240
72246434653434400
oct244707377341250
944106557511216
1011331130213032
11367956166aaa3
1213300706b9520
136426a0816656
142b2602c87800
15149b36ce4e8c
hexa4e3bfdc2a8

11331130213032 has 96 divisors (see below), whose sum is σ = 32957973976320. Its totient is φ = 3236955160320.

The previous prime is 11331130212991. The next prime is 11331130213033. The reversal of 11331130213032 is 23031203113311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11331130212993 and 11331130213011.

It is not an unprimeable number, because it can be changed into a prime (11331130213033) 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, 6730932 + ... + 8244252.

It is an arithmetic number, because the mean of its divisors is an integer number (343312228920).

Almost surely, 211331130213032 is an apocalyptic number.

11331130213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331130213032 is an abundant number, since it is smaller than the sum of its proper divisors (21626843763288).

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

11331130213032 is a wasteful number, since it uses less digits than its factorization.

11331130213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519711 (or 1519700 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11331130213032 its reverse (23031203113311), we get a palindrome (34362333326343).

The spelling of 11331130213032 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 6367 12734 19101 25468 38202 44569 50936 76404 89138 133707 152808 178276 267414 311983 356552 534828 623966 935949 1069656 1247932 1513321 1871898 2495864 3026642 3743796 4539963 6053284 7487592 9079926 10593247 12106568 18159852 21186494 31779741 36319704 42372988 63559482 74152729 84745976 127118964 148305458 222458187 254237928 296610916 444916374 593221832 889832748 1779665496 9635314807 19270629614 28905944421 38541259228 57811888842 67447203649 77082518456 115623777684 134894407298 202341610947 231247555368 269788814596 404683221894 472130425543 539577629192 809366443788 944260851086 1416391276629 1618732887576 1888521702172 2832782553258 3777043404344 5665565106516 11331130213032