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130101022020 = 223579199137927
BaseRepresentation
bin111100100101010100…
…0000000110101000100
3110102210222000200210010
41321022220000311010
54112421330201040
6135433444230220
712254011304124
oct1711250006504
9412728020703
10130101022020
11501a26a9502
122126a69b370
13c364ab5588
146422a84c84
1535b6b6ae80
hex1e4aa00d44

130101022020 has 96 divisors (see below), whose sum is σ = 370750464000. Its totient is φ = 34082066304.

The previous prime is 130101022003. The next prime is 130101022021. The reversal of 130101022020 is 20220101031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130101021987 and 130101022005.

It is not an unprimeable number, because it can be changed into a prime (130101022021) 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, 874297 + ... + 1012223.

It is an arithmetic number, because the mean of its divisors is an integer number (3861984000).

Almost surely, 2130101022020 is an apocalyptic number.

130101022020 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 130101022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185375232000).

130101022020 is an abundant number, since it is smaller than the sum of its proper divisors (240649441980).

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

130101022020 is a wasteful number, since it uses less digits than its factorization.

130101022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138217 (or 138215 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130101022020 its reverse (20220101031), we get a palindrome (150321123051).

The spelling of 130101022020 in words is "one hundred thirty billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 199 237 316 395 398 474 597 790 796 948 995 1185 1194 1580 1990 2370 2388 2985 3980 4740 5970 11940 15721 31442 47163 62884 78605 94326 137927 157210 188652 235815 275854 314420 413781 471630 551708 689635 827562 943260 1379270 1655124 2068905 2758540 4137810 8275620 10896233 21792466 27447473 32688699 43584932 54481165 54894946 65377398 82342419 108962330 109789892 130754796 137237365 163443495 164684838 217924660 274474730 326886990 329369676 411712095 548949460 653773980 823424190 1646848380 2168350367 4336700734 6505051101 8673401468 10841751835 13010102202 21683503670 26020204404 32525255505 43367007340 65050511010 130101022020