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13300100000070 = 23513591813193447
BaseRepresentation
bin1100000110001010101110…
…1111000110100101000110
31202002110212211121002022220
43001202223233012211012
53220402101100000240
644141552005033210
72541620606456322
oct301425357064506
952073784532286
1013300100000070
1142685a4798584
1215a97946b5806
1375626a42a860
1433da2a558982
15180e759ea5d0
hexc18abbc6946

13300100000070 has 128 divisors (see below), whose sum is σ = 35151431777280. Its totient is φ = 3200599319040.

The previous prime is 13300100000069. The next prime is 13300100000087. The reversal of 13300100000070 is 7000000100331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13300099999995 and 13300100000049.

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, 2568087 + ... + 5761533.

It is an arithmetic number, because the mean of its divisors is an integer number (274620560760).

Almost surely, 213300100000070 is an apocalyptic number.

13300100000070 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 13300100000070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575715888640).

13300100000070 is an abundant number, since it is smaller than the sum of its proper divisors (21851331777210).

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

13300100000070 is a wasteful number, since it uses less digits than its factorization.

13300100000070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193710.

The product of its (nonzero) digits is 63, while the sum is 15.

The spelling of 13300100000070 in words is "thirteen trillion, three hundred billion, one hundred million, seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 181 195 295 354 362 390 543 590 767 885 905 1086 1534 1770 1810 2301 2353 2715 3835 4602 4706 5430 7059 7670 10679 11505 11765 14118 21358 23010 23530 32037 35295 53395 64074 70590 106790 138827 160185 277654 320370 416481 694135 832962 1388270 2082405 3193447 4164810 6386894 9580341 15967235 19160682 31934470 41514811 47901705 83029622 95803410 124544433 188413373 207574055 249088866 376826746 415148110 565240119 578013907 622722165 942066865 1130480238 1156027814 1245444330 1734041721 1884133730 2449373849 2826200595 2890069535 3468083442 4898747698 5652401190 5780139070 7348121547 7514180791 8670208605 12246869245 14696243094 15028361582 17340417210 22542542373 24493738490 34102820513 36740607735 37570903955 45085084746 68205641026 73481215470 75141807910 102308461539 112712711865 170514102565 204616923078 225425423730 341028205130 443336666669 511542307695 886673333338 1023084615390 1330010000007 2216683333345 2660020000014 4433366666690 6650050000035 13300100000070