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10201001220 = 22335107176549
BaseRepresentation
bin10011000000000011…
…01110110100000100
3222022220222112222000
421200001232310010
5131342424014340
64404122505300
7510535036224
oct114001566404
928286875860
1010201001220
114365221223
121b88365230
13c675353c7
146cab26084
153ea863d30
hex26006ed04

10201001220 has 96 divisors (see below), whose sum is σ = 32033232000. Its totient is φ = 2694828672.

The previous prime is 10201001201. The next prime is 10201001243. The reversal of 10201001220 is 2210010201.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 30495 + ... + 146054.

It is an arithmetic number, because the mean of its divisors is an integer number (333679500).

Almost surely, 210201001220 is an apocalyptic number.

10201001220 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 10201001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016616000).

10201001220 is an abundant number, since it is smaller than the sum of its proper divisors (21832230780).

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

10201001220 is a wasteful number, since it uses less digits than its factorization.

10201001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176674 (or 176666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201001220 its reverse (2210010201), we get a palindrome (12411011421).

The spelling of 10201001220 in words is "ten billion, two hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780 176549 353098 529647 706196 882745 1059294 1588941 1765490 2118588 2648235 3177882 3530980 4766823 5296470 6355764 7944705 9533646 10592940 15889410 18890743 19067292 23834115 31778820 37781486 47668230 56672229 75562972 94453715 95336460 113344458 170016687 188907430 226688916 283361145 340033374 377814860 510050061 566722290 680066748 850083435 1020100122 1133444580 1700166870 2040200244 2550250305 3400333740 5100500610 10201001220