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10242220120040 = 23512712371629899
BaseRepresentation
bin1001010100001011001111…
…1001000101011111101000
31100021010221221010020222102
42111002303321011133220
52320302031322320130
633441113322512532
72104655522400266
oct225026371053750
940233857106872
1010242220120040
113299779275307
121195016965748
13593ab648453c
14275a245b5436
1512b654c42645
hex950b3e457e8

10242220120040 has 64 divisors (see below), whose sum is σ = 23245242624000. Its totient is φ = 4061340718848.

The previous prime is 10242220120019. The next prime is 10242220120061. The reversal of 10242220120040 is 4002102224201.

10242220120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10242220120019) and next prime (10242220120061).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10242220119994 and 10242220120021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469011 + ... + 7098909.

It is an arithmetic number, because the mean of its divisors is an integer number (363206916000).

Almost surely, 210242220120040 is an apocalyptic number.

10242220120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242220120040 is an abundant number, since it is smaller than the sum of its proper divisors (13003022503960).

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

10242220120040 is a wasteful number, since it uses less digits than its factorization.

10242220120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631274 (or 1631270 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10242220120040 its reverse (4002102224201), we get a palindrome (14244322344241).

The spelling of 10242220120040 in words is "ten trillion, two hundred forty-two billion, two hundred twenty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1237 1270 2474 2540 4948 5080 6185 9896 12370 24740 49480 157099 314198 628396 785495 1256792 1570990 1629899 3141980 3259798 6283960 6519596 8149495 13039192 16298990 32597980 65195960 206997173 413994346 827988692 1034985865 1655977384 2016185063 2069971730 4032370126 4139943460 8064740252 8279886920 10080925315 16129480504 20161850630 40323701260 80647402520 256055503001 512111006002 1024222012004 1280277515005 2048444024008 2560555030010 5121110060020 10242220120040