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1331202213030 = 2351937393116057
BaseRepresentation
bin10011010111110001110…
…101011100010010100110
311201021001202211002211210
4103113301311130102212
5133302300231304110
62455313523212250
7165114301053444
oct23276165342246
94637052732753
101331202213030
11473617a43708
12195bb4b17086
13986bb57a0a1
144860553bb94
1524963375520
hex135f1d5c4a6

1331202213030 has 128 divisors (see below), whose sum is σ = 3455023864320. Its totient is φ = 327110814720.

The previous prime is 1331202213013. The next prime is 1331202213053. The reversal of 1331202213030 is 303122021331.

It is a junction number, because it is equal to n+sod(n) for n = 1331202212988 and 1331202213006.

It is a congruent 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, 82896762 + ... + 82912818.

It is an arithmetic number, because the mean of its divisors is an integer number (26992373940).

Almost surely, 21331202213030 is an apocalyptic number.

1331202213030 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 1331202213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727511932160).

1331202213030 is an abundant number, since it is smaller than the sum of its proper divisors (2123821651290).

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

1331202213030 is a wasteful number, since it uses less digits than its factorization.

1331202213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1331202213030 its reverse (303122021331), we get a palindrome (1634324234361).

The spelling of 1331202213030 in words is "one trillion, three hundred thirty-one billion, two hundred two million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 3931 4218 7030 7862 10545 11793 16057 19655 21090 23586 32114 39310 48171 58965 74689 80285 96342 117930 145447 149378 160570 224067 240855 290894 305083 373445 436341 448134 481710 594109 610166 727235 746890 872682 915249 1120335 1188218 1454470 1525415 1782327 1830498 2181705 2240670 2763493 2970545 3050830 3564654 4363410 4576245 5526986 5941090 8290479 8911635 9152490 11288071 13817465 16580958 17823270 22576142 27634930 33864213 41452395 56440355 63120067 67728426 82904790 112880710 126240134 169321065 189360201 315600335 338642130 378720402 631200670 946801005 1199281273 1893602010 2335442479 2398562546 3597843819 4670884958 5996406365 7006327437 7195687638 11677212395 11992812730 14012654874 17989219095 23354424790 35031637185 35978438190 44373407101 70063274370 88746814202 133120221303 221867035505 266240442606 443734071010 665601106515 1331202213030