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10122340121420 = 22517326910875583
BaseRepresentation
bin1001001101001100101001…
…1111001011101101001100
31022211200112021202100102112
42103103022133023231030
52311321023032341140
633310045554243152
72063213011253162
oct223231237135514
938750467670375
1010122340121420
113252951122a8a
12117593b2864b8
135856c00c4907
1426dcd1189232
1512848a592c65
hex934ca7cbb4c

10122340121420 has 48 divisors (see below), whose sum is σ = 21459267325440. Its totient is φ = 4010566622976.

The previous prime is 10122340121417. The next prime is 10122340121423. The reversal of 10122340121420 is 2412104322101.

It is an interprime number because it is at equal distance from previous prime (10122340121417) and next prime (10122340121423).

It is not an unprimeable number, because it can be changed into a prime (10122340121423) 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 15 ways as a sum of consecutive naturals, for example, 4507052 + ... + 6368531.

It is an arithmetic number, because the mean of its divisors is an integer number (447068069280).

Almost surely, 210122340121420 is an apocalyptic number.

10122340121420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122340121420 is an abundant number, since it is smaller than the sum of its proper divisors (11336927204020).

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

10122340121420 is a wasteful number, since it uses less digits than its factorization.

10122340121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876034 (or 10876032 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10122340121420 its reverse (2412104322101), we get a palindrome (12534444443521).

The spelling of 10122340121420 in words is "ten trillion, one hundred twenty-two billion, three hundred forty million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 269 346 538 692 865 1076 1345 1730 2690 3460 5380 46537 93074 186148 232685 465370 930740 10875583 21751166 43502332 54377915 108755830 217511660 1881475859 2925531827 3762951718 5851063654 7525903436 9407379295 11702127308 14627659135 18814758590 29255318270 37629517180 58510636540 506117006071 1012234012142 2024468024284 2530585030355 5061170060710 10122340121420