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20130032003312 = 2471183991198647
BaseRepresentation
bin1001001001110111000110…
…11010000010100011110000
32122021102010112121200120102
410210323203122002203300
510114302301143101222
6110451335315131532
74145226646560230
oct444734332024360
978242115550512
1020130032003312
11646110a305790
122311402ba3ba8
13b3033b9b232a
144d8427a97cc0
1524d96591bd92
hex124ee36828f0

20130032003312 has 160 divisors (see below), whose sum is σ = 49261551058944. Its totient is φ = 7740519494400.

The previous prime is 20130032003311. The next prime is 20130032003329. The reversal of 20130032003312 is 21330023003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130032003311) 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, 101236373 + ... + 101435019.

Almost surely, 220130032003312 is an apocalyptic number.

20130032003312 is a gapful number since it is divisible by the number (22) 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 20130032003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630775529472).

20130032003312 is an abundant number, since it is smaller than the sum of its proper divisors (29131519055632).

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

20130032003312 is a wasteful number, since it uses less digits than its factorization.

20130032003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199747 (or 199741 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20130032003312 its reverse (21330023003102), we get a palindrome (41460055006414).

The spelling of 20130032003312 in words is "twenty trillion, one hundred thirty billion, thirty-two million, three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 83 88 112 154 166 176 308 332 581 616 664 913 991 1162 1232 1328 1826 1982 2324 3652 3964 4648 6391 6937 7304 7928 9296 10901 12782 13874 14608 15856 21802 25564 27748 43604 51128 55496 76307 82253 87208 102256 110992 152614 164506 174416 198647 305228 329012 397294 575771 610456 658024 794588 904783 1151542 1220912 1316048 1390529 1589176 1809566 2185117 2303084 2781058 3178352 3619132 4370234 4606168 5562116 6333481 7238264 8740468 9212336 11124232 12666962 14476528 15295819 16487701 17480936 22248464 25333924 30591638 32975402 34961872 50667848 61183276 65950804 101335696 115413907 122366552 131901608 181364711 196859177 230827814 244733104 263803216 362729422 393718354 461655628 725458844 787436708 923311256 1269552977 1378014239 1450917688 1574873416 1846622512 2165450947 2539105954 2756028478 2901835376 3149746832 4330901894 5078211908 5512056956 8661803788 10156423816 11024113912 15158156629 16339311691 17323607576 20312847632 22048227824 30316313258 32678623382 34647215152 60632626516 65357246764 114375181837 121265253032 130714493528 179732428601 228750363674 242530506064 261428987056 359464857202 457500727348 718929714404 915001454696 1258127000207 1437859428808 1830002909392 2516254000414 2875718857616 5032508000828 10065016001656 20130032003312