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220032121230042 = 231141922861348043
BaseRepresentation
bin110010000001111000111000…
…011011001101001011011010
31001212001212100211212010011220
4302001320320123031023122
5212320001241013330132
62055545205553032510
764226540040313422
oct6201707033151332
91055055324763156
10220032121230042
116412210a2329a0
1220817848255736
1395a0c2b249ac4
143c4987bd01482
151a68818daba2c
hexc81e386cd2da

220032121230042 has 64 divisors (see below), whose sum is σ = 481238267005440. Its totient is φ = 66514167403200.

The previous prime is 220032121230041. The next prime is 220032121230127. The reversal of 220032121230042 is 240032121230022.

It is a super-2 number, since 2×2200321212300422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220032121229994 and 220032121230021.

It is not an unprimeable number, because it can be changed into a prime (220032121230041) 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, 632024073 + ... + 632372115.

It is an arithmetic number, because the mean of its divisors is an integer number (7519347921960).

Almost surely, 2220032121230042 is an apocalyptic number.

220032121230042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220032121230042 is an abundant number, since it is smaller than the sum of its proper divisors (261206145775398).

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

220032121230042 is a wasteful number, since it uses less digits than its factorization.

220032121230042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371339.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220032121230042 its reverse (240032121230022), we get a palindrome (460064242460064).

The spelling of 220032121230042 in words is "two hundred twenty trillion, thirty-two billion, one hundred twenty-one million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 419 838 1257 2514 4609 9218 13827 22861 27654 45722 68583 137166 251471 348043 502942 696086 754413 1044129 1508826 2088258 3828473 7656946 9578759 11485419 19157518 22970838 28736277 57472554 105366349 145830017 210732698 291660034 316099047 437490051 632198094 874980102 1604130187 3208260374 4812390561 7956611023 9624781122 15913222046 23869833069 47739666138 87522721253 175045442506 262568163759 525136327518 3333820018637 6667640037274 10001460055911 20002920111822 36672020205007 73344040410014 110016060615021 220032121230042