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1001020011220 = 2251013537271931
BaseRepresentation
bin11101001000100010111…
…00010011001011010100
310112200210210202100211101
432210101130103023110
5112400042110324340
62043510124515444
7132215131463455
oct16442134231324
93480723670741
101001020011220
11356591777479
121420076abb84
137351b6c1288
1436641ac312c
151b08b09bc9a
hexe9117132d4

1001020011220 has 96 divisors (see below), whose sum is σ = 2133001817856. Its totient is φ = 394572288000.

The previous prime is 1001020011203. The next prime is 1001020011221. The reversal of 1001020011220 is 221100201001.

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 = 1001020011197 and 1001020011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020011221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518393655 + ... + 518395585.

It is an arithmetic number, because the mean of its divisors is an integer number (22218768936).

Almost surely, 21001020011220 is an apocalyptic number.

1001020011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020011220 is an abundant number, since it is smaller than the sum of its proper divisors (1131981806636).

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

1001020011220 is a wasteful number, since it uses less digits than its factorization.

1001020011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001020011220 its reverse (221100201001), we get a palindrome (1222120212221).

The spelling of 1001020011220 in words is "one trillion, one billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 353 404 505 706 727 1010 1412 1454 1765 1931 2020 2908 3530 3635 3862 7060 7270 7724 9655 14540 19310 35653 38620 71306 73427 142612 146854 178265 195031 256631 293708 356530 367135 390062 513262 681643 713060 734270 780124 975155 1026524 1283155 1363286 1403837 1468540 1950310 2566310 2726572 2807674 3408215 3900620 5132620 5615348 6816430 7019185 13632860 14038370 25919731 28076740 51839462 68845943 103678924 129598655 137691886 141787537 259197310 275383772 283575074 344229715 495554461 518394620 567150148 688459430 708937685 991108922 1376918860 1417875370 1982217844 2477772305 2835750740 4955544610 9911089220 50051000561 100102001122 200204002244 250255002805 500510005610 1001020011220