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22031230332120 = 23353672423206461
BaseRepresentation
bin1010000001001100010111…
…01010000110110011011000
32220000011110022200121101020
411000212023222012303120
510341424424431111440
6114505001341322440
74432463265664632
oct500461352066330
986004408617336
1022031230332120
117024435195659
122579972566420
13c3a6c7a94869
145624626dda52
152831399ba3d0
hex14098ba86cd8

22031230332120 has 128 divisors (see below), whose sum is σ = 66301455882240. Its totient is φ = 5856540157440.

The previous prime is 22031230332119. The next prime is 22031230332121. The reversal of 22031230332120 is 2123303213022.

It is an interprime number because it is at equal distance from previous prime (22031230332119) and next prime (22031230332121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22031230332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106605690 + ... + 106812150.

It is an arithmetic number, because the mean of its divisors is an integer number (517980124080).

Almost surely, 222031230332120 is an apocalyptic number.

22031230332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22031230332120 is an abundant number, since it is smaller than the sum of its proper divisors (44270225550120).

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

22031230332120 is a wasteful number, since it uses less digits than its factorization.

22031230332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209265 (or 209261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22031230332120 its reverse (2123303213022), we get a palindrome (24154533545142).

The spelling of 22031230332120 in words is "twenty-two trillion, thirty-one billion, two hundred thirty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 734 1101 1468 1835 2202 2423 2936 3670 4404 4846 5505 7269 7340 8808 9692 11010 12115 14538 14680 19384 22020 24230 29076 36345 44040 48460 58152 72690 96920 145380 206461 290760 412922 619383 825844 889241 1032305 1238766 1651688 1778482 2064610 2477532 2667723 3096915 3556964 4129220 4446205 4955064 5335446 6193830 7113928 8258440 8892410 10670892 12387660 13338615 17784820 21341784 24775320 26677230 35569640 53354460 75771187 106708920 151542374 227313561 303084748 378855935 454627122 500255003 606169496 757711870 909254244 1000510006 1136567805 1500765009 1515423740 1818508488 2001020012 2273135610 2501275015 3001530018 3030847480 4002040024 4546271220 5002550030 6003060036 7503825045 9092542440 10005100060 12006120072 15007650090 20010200120 30015300180 60030600360 183593586101 367187172202 550780758303 734374344404 917967930505 1101561516606 1468748688808 1835935861010 2203123033212 2753903791515 3671871722020 4406246066424 5507807583030 7343743444040 11015615166060 22031230332120