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31220121312252 = 22323153527830549
BaseRepresentation
bin1110001100101000000000…
…01111011001101111111100
311002112121120221012102211200
413012110000033121233330
513043002302023443002
6150222154205215500
76401402465414205
oct706240017315774
9132477527172750
1031220121312252
119a47419634924
123602803561590
131456077597b82
1479d0c1d385ac
153921911e4b1c
hex1c65003d9bfc

31220121312252 has 72 divisors (see below), whose sum is σ = 83000298326400. Its totient is φ = 9880987858560.

The previous prime is 31220121312181. The next prime is 31220121312253. The reversal of 31220121312252 is 25221312102213.

31220121312252 is a `hidden beast` number, since 3 + 1 + 220 + 1 + 213 + 1 + 225 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220121312253) 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 23 ways as a sum of consecutive naturals, for example, 263856127 + ... + 263974422.

It is an arithmetic number, because the mean of its divisors is an integer number (1152781921200).

Almost surely, 231220121312252 is an apocalyptic number.

It is an amenable number.

31220121312252 is an abundant number, since it is smaller than the sum of its proper divisors (51780177014148).

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

31220121312252 is a wasteful number, since it uses less digits than its factorization.

31220121312252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527830643 (or 527830638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31220121312252 its reverse (25221312102213), we get a palindrome (56441433414465).

The spelling of 31220121312252 in words is "thirty-one trillion, two hundred twenty billion, one hundred twenty-one million, three hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 14787 19716 29574 59148 527830549 1055661098 1583491647 2111322196 3166983294 4750474941 6333966588 9500949882 16362747019 19001899764 27975019097 32725494038 49088241057 55950038194 65450988076 83925057291 98176482114 111900076388 147264723171 167850114582 196352964228 251775171873 294529446342 335700229164 503550343746 589058892684 867225592007 1007100687492 1734451184014 2601676776021 3468902368028 5203353552042 7805030328063 10406707104084 15610060656126 31220121312252