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42130134321220 = 22511534877419341
BaseRepresentation
bin10011001010001001011111…
…01100001100100001000100
312112011121020111110022222101
421211010233230030201010
521010230003341234340
6225334152211241444
711605542001035151
oct1145045754144104
9175147214408871
1042130134321220
1112473320548560
1248851288a9284
131a67b157a2c6a
14a591761db228
154d0d7c741c9a
hex26512fb0c844

42130134321220 has 96 divisors (see below), whose sum is σ = 98539308193536. Its totient is φ = 15000124838400.

The previous prime is 42130134321179. The next prime is 42130134321241. The reversal of 42130134321220 is 2212343103124.

It is an unprimeable number.

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, 1968750 + ... + 9388090.

It is an arithmetic number, because the mean of its divisors is an integer number (1026451127016).

Almost surely, 242130134321220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130134321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49269654096768).

42130134321220 is an abundant number, since it is smaller than the sum of its proper divisors (56409173872316).

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

42130134321220 is a wasteful number, since it uses less digits than its factorization.

42130134321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419901 (or 7419899 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42130134321220 its reverse (2212343103124), we get a palindrome (44342477424344).

The spelling of 42130134321220 in words is "forty-two trillion, one hundred thirty billion, one hundred thirty-four million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 487 530 583 974 1060 1166 1948 2332 2435 2915 4870 5357 5830 9740 10714 11660 21428 25811 26785 51622 53570 103244 107140 129055 258110 283921 516220 567842 1135684 1419605 2839210 5678420 7419341 14838682 29677364 37096705 74193410 81612751 148386820 163225502 326451004 393225073 408063755 786450146 816127510 1572900292 1632255020 1966125365 3613219067 3932250730 4325475803 7226438134 7864501460 8650951606 14452876268 17301903212 18066095335 21627379015 36132190670 39745409737 43254758030 72264381340 79490819474 86509516060 158981638948 191500610551 198727048685 383001221102 397454097370 766002442204 794908194740 957503052755 1915006105510 2106506716061 3830012211020 4213013432122 8426026864244 10532533580305 21065067160610 42130134321220