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10101013120 = 275111434803
BaseRepresentation
bin10010110100001000…
…10011101010000000
3222001221211122002001
421122010103222000
5131141324404440
64350151433344
7505212123562
oct113204235200
928057748061
1010101013120
114313838730
121b5a985854
13c4c8c7153
146bb739332
153e1bb2b9a
hex25a113a80

10101013120 has 64 divisors (see below), whose sum is σ = 26343001440. Its totient is φ = 3673093120.

The previous prime is 10101013103. The next prime is 10101013133. The reversal of 10101013120 is 2131010101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10101013097 and 10101013106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710362 + ... + 724441.

Almost surely, 210101013120 is an apocalyptic number.

10101013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101013120 is an abundant number, since it is smaller than the sum of its proper divisors (16241988320).

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

10101013120 is a wasteful number, since it uses less digits than its factorization.

10101013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434833 (or 1434821 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10101013120 its reverse (2131010101), we get a palindrome (12232023221).

The spelling of 10101013120 in words is "ten billion, one hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1434803 2869606 5739212 7174015 11478424 14348030 15782833 22956848 28696060 31565666 45913696 57392120 63131332 78914165 91827392 114784240 126262664 157828330 183654784 229568480 252525328 315656660 459136960 505050656 631313320 918273920 1010101312 1262626640 2020202624 2525253280 5050506560 10101013120