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13022013330120 = 23351078231232291
BaseRepresentation
bin1011110101111110110001…
…1110101001001011001000
31201002220002111110120020110
42331133230132221023020
53201323040403030440
643410121430354320
72512544425666404
oct275375436511310
951086074416213
1013022013330120
114170672050503
121563905abb9a0
13735c804c6942
143303a9876104
15178aec04a080
hexbd7ec7a92c8

13022013330120 has 128 divisors (see below), whose sum is σ = 39479086679040. Its totient is φ = 3435900552960.

The previous prime is 13022013330101. The next prime is 13022013330121. The reversal of 13022013330120 is 2103331022031.

It is not an unprimeable number, because it can be changed into a prime (13022013330121) 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, 9951175 + ... + 11183465.

It is an arithmetic number, because the mean of its divisors is an integer number (308430364680).

Almost surely, 213022013330120 is an apocalyptic number.

13022013330120 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 13022013330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739543339520).

13022013330120 is an abundant number, since it is smaller than the sum of its proper divisors (26457073348920).

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

13022013330120 is a wasteful number, since it uses less digits than its factorization.

13022013330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233235 (or 1233231 counting only the distinct ones).

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

Adding to 13022013330120 its reverse (2103331022031), we get a palindrome (15125344352151).

The spelling of 13022013330120 in words is "thirteen trillion, twenty-two billion, thirteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 823 856 1070 1284 1605 1646 2140 2469 2568 3210 3292 4115 4280 4938 6420 6584 8230 9876 12345 12840 16460 19752 24690 32920 49380 88061 98760 176122 264183 352244 440305 528366 704488 880610 1056732 1232291 1320915 1761220 2113464 2464582 2641830 3522440 3696873 4929164 5283660 6161455 7393746 9858328 10567320 12322910 14787492 18484365 24645820 29574984 36968730 49291640 73937460 131855137 147874920 263710274 395565411 527420548 659275685 791130822 1014175493 1054841096 1318551370 1582261644 1977827055 2028350986 2637102740 3042526479 3164523288 3955654110 4056701972 5070877465 5274205480 6085052958 7911308220 8113403944 10141754930 12170105916 15212632395 15822616440 20283509860 24340211832 30425264790 40567019720 60850529580 108516777751 121701059160 217033555502 325550333253 434067111004 542583888755 651100666506 868134222008 1085167777510 1302201333012 1627751666265 2170335555020 2604402666024 3255503332530 4340671110040 6511006665060 13022013330120