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1020201203130 = 235313771417583
BaseRepresentation
bin11101101100010001011…
…10101111010110111010
310121112022120112212112120
432312020232233112322
5113203333002000010
62100401324222110
7133464352100664
oct16661056572672
93545276485476
101020201203130
11363734a8989a
1214587b39a936
137528755c285
1437541345534
151b80eec7e70
hexed88baf5ba

1020201203130 has 128 divisors (see below), whose sum is σ = 2632342634496. Its totient is φ = 252553593600.

The previous prime is 1020201203129. The next prime is 1020201203227. The reversal of 1020201203130 is 313021020201.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2234319 + ... + 2651901.

It is an arithmetic number, because the mean of its divisors is an integer number (20565176832).

Almost surely, 21020201203130 is an apocalyptic number.

1020201203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020201203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316171317248).

1020201203130 is an abundant number, since it is smaller than the sum of its proper divisors (1612141431366).

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

1020201203130 is a wasteful number, since it uses less digits than its factorization.

1020201203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417732.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1020201203130 its reverse (313021020201), we get a palindrome (1333222223331).

The spelling of 1020201203130 in words is "one trillion, twenty billion, two hundred one million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 71 74 93 111 142 155 185 186 213 222 310 355 370 426 465 555 710 930 1065 1110 1147 2130 2201 2294 2627 3441 4402 5254 5735 6603 6882 7881 11005 11470 13135 13206 15762 17205 22010 26270 33015 34410 39405 66030 78810 81437 162874 244311 407185 417583 488622 814370 835166 1221555 1252749 2087915 2443110 2505498 4175830 6263745 12527490 12945073 15450571 25890146 29648393 30901142 38835219 46351713 59296786 64725365 77252855 77670438 88945179 92703426 129450730 148241965 154505710 177890358 194176095 231758565 296483930 388352190 444725895 463517130 478967701 889451790 919100183 957935402 1096990541 1436903103 1838200366 2193981082 2394838505 2757300549 2873806206 3290971623 4595500915 4789677010 5484952705 5514601098 6581943246 7184515515 9191001830 10969905410 13786502745 14369031030 16454858115 27573005490 32909716230 34006706771 68013413542 102020120313 170033533855 204040240626 340067067710 510100601565 1020201203130