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124234221242010 = 235113076719182509
BaseRepresentation
bin11100001111110110001000…
…101000000100011010011010
3121021212200020111001122011210
4130033312020220010122122
5112240423141114221020
61120120225141003550
735111424546665205
oct3417661050043232
9537780214048153
10124234221242010
113664848a125670
1211b255113b35b6
135442310311ba9
142296d7b3a093c
15e5693d0873e0
hex70fd88a0469a

124234221242010 has 128 divisors (see below), whose sum is σ = 326377639526400. Its totient is φ = 30014652453120.

The previous prime is 124234221242003. The next prime is 124234221242099. The reversal of 124234221242010 is 10242122432421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680610636 + ... + 680793144.

It is an arithmetic number, because the mean of its divisors is an integer number (2549825308800).

Almost surely, 2124234221242010 is an apocalyptic number.

124234221242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124234221242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163188819763200).

124234221242010 is an abundant number, since it is smaller than the sum of its proper divisors (202143418284390).

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

124234221242010 is a wasteful number, since it uses less digits than its factorization.

124234221242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189556.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 124234221242010 its reverse (10242122432421), we get a palindrome (134476343674431).

The spelling of 124234221242010 in words is "one hundred twenty-four trillion, two hundred thirty-four billion, two hundred twenty-one million, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 307 330 614 921 1535 1842 3070 3377 4605 6719 6754 9210 10131 13438 16885 20157 20262 33595 33770 40314 50655 67190 73909 100785 101310 147818 182509 201570 221727 365018 369545 443454 547527 739090 912545 1095054 1108635 1825090 2007599 2062733 2217270 2737635 4015198 4125466 5475270 6022797 6188199 10037995 10313665 12045594 12376398 20075990 20627330 22690063 30113985 30940995 45380126 56030263 60227970 61881990 68070189 112060526 113450315 136140378 168090789 226900630 280151315 336181578 340350945 560302630 616332893 680701890 840453945 1226277971 1232665786 1680907890 1848998679 2452555942 3081664465 3678833913 3697997358 6131389855 6163328930 7357667826 9244993395 12262779710 13489057681 18394169565 18489986790 26978115362 36788339130 40467173043 67445288405 80934346086 134890576810 202335865215 376467337097 404671730430 752934674194 1129402011291 1882336685485 2258804022582 3764673370970 4141140708067 5647010056455 8282281416134 11294020112910 12423422124201 20705703540335 24846844248402 41411407080670 62117110621005 124234221242010