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31123331311230 = 2335279649412201
BaseRepresentation
bin1110001001110011101110…
…00110110110011001111110
311002012100202110201221101000
413010321313012312121332
513034411040303424410
6150105505551431130
76361405110112254
oct704716706663176
9132170673657330
1031123331311230
119a0a370161544
1235a7ab08254a6
131449bc0b18212
1479853d3465d4
1538e8c8bd0dc0
hex1c4e771b667e

31123331311230 has 64 divisors (see below), whose sum is σ = 82996048296000. Its totient is φ = 8299505203200.

The previous prime is 31123331311207. The next prime is 31123331311231. The reversal of 31123331311230 is 3211313332113.

31123331311230 is a `hidden beast` number, since 3 + 1 + 1 + 233 + 313 + 112 + 3 + 0 = 666.

It is a super-2 number, since 2×311233313112302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31123331311194 and 31123331311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123331311231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75299130 + ... + 75711330.

It is an arithmetic number, because the mean of its divisors is an integer number (1296813254625).

Almost surely, 231123331311230 is an apocalyptic number.

31123331311230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31123331311230 is an abundant number, since it is smaller than the sum of its proper divisors (51872716984770).

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

31123331311230 is a wasteful number, since it uses less digits than its factorization.

31123331311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691866 (or 691860 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31123331311230 its reverse (3211313332113), we get a palindrome (34334644643343).

The spelling of 31123331311230 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 279649 412201 559298 824402 838947 1236603 1398245 1677894 2061005 2473206 2516841 2796490 3709809 4122010 4194735 5033682 6183015 7419618 7550523 8389470 11129427 12366030 12584205 15101046 18549045 22258854 25168410 37098090 37752615 55647135 75505230 111294270 115271597449 230543194898 345814792347 576357987245 691629584694 1037444377041 1152715974490 1729073961735 2074888754082 3112333131123 3458147923470 5187221885205 6224666262246 10374443770410 15561665655615 31123331311230