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10121123220 = 22351319765867
BaseRepresentation
bin10010110110100010…
…00001010110010100
3222010100200022221120
421123101001112110
5131212001420340
64352150443540
7505545061605
oct113321012624
928110608846
1010121123220
11432412374a
121b656635b0
13c53b18710
146c0291dac
153e38364d0
hex25b441594

10121123220 has 96 divisors (see below), whose sum is σ = 30674464128. Its totient is φ = 2478669312.

The previous prime is 10121123203. The next prime is 10121123231. The reversal of 10121123220 is 2232112101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121123220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120727 + ... + 186593.

It is an arithmetic number, because the mean of its divisors is an integer number (319525668).

Almost surely, 210121123220 is an apocalyptic number.

10121123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337232064).

10121123220 is an abundant number, since it is smaller than the sum of its proper divisors (20553340908).

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

10121123220 is a wasteful number, since it uses less digits than its factorization.

10121123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66089 (or 66087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10121123220 its reverse (2232112101), we get a palindrome (12353235321).

The spelling of 10121123220 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 197 260 390 394 591 780 788 985 1182 1970 2364 2561 2955 3940 5122 5910 7683 10244 11820 12805 15366 25610 30732 38415 51220 65867 76830 131734 153660 197601 263468 329335 395202 658670 790404 856271 988005 1317340 1712542 1976010 2568813 3425084 3952020 4281355 5137626 8562710 10275252 12844065 12975799 17125420 25688130 25951598 38927397 51376260 51903196 64878995 77854794 129757990 155709588 168685387 194636985 259515980 337370774 389273970 506056161 674741548 778547940 843426935 1012112322 1686853870 2024224644 2530280805 3373707740 5060561610 10121123220