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13102033120120 = 2357139544161871
BaseRepresentation
bin1011111010101000111000…
…0001111010101101111000
31201101112122012211002000101
42332222032001322231320
53204130430434320440
643510554012245144
72521406410663660
oct276521601725570
951345565732011
1013102033120120
1141a15a514405a
1215773184707b4
1374069376a3c9
143341db0c31a0
1517ac3212769a
hexbea8e07ab78

13102033120120 has 128 divisors (see below), whose sum is σ = 33940108339200. Its totient is φ = 4458916454400.

The previous prime is 13102033120117. The next prime is 13102033120181. The reversal of 13102033120120 is 2102133020131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211732785 + ... + 211794655.

It is an arithmetic number, because the mean of its divisors is an integer number (265157096400).

Almost surely, 213102033120120 is an apocalyptic number.

13102033120120 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 13102033120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970054169600).

13102033120120 is an abundant number, since it is smaller than the sum of its proper divisors (20838075219080).

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

13102033120120 is a wasteful number, since it uses less digits than its factorization.

13102033120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67469 (or 67465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13102033120120 its reverse (2102133020131), we get a palindrome (15204166140251).

The spelling of 13102033120120 in words is "thirteen trillion, one hundred two billion, thirty-three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 556 695 973 1112 1390 1946 2780 3892 4865 5441 5560 7784 9730 10882 19460 21764 27205 38087 38920 43528 54410 61871 76174 108820 123742 152348 190435 217640 247484 304696 309355 380870 433097 494968 618710 756299 761740 866194 1237420 1512598 1523480 1732388 2165485 2474840 3025196 3464776 3781495 4330970 5294093 6050392 7562990 8600069 8661940 10588186 15125980 17200138 17323880 21176372 26470465 30251960 34400276 42352744 43000345 52940930 60200483 68800552 86000690 105881860 120400966 172001380 211763720 240801932 301002415 336640111 344002760 481603864 602004830 673280222 1204009660 1346560444 1683200555 2356480777 2408019320 2693120888 3366401110 4712961554 6732802220 9425923108 11782403885 13465604440 18851846216 23564807770 46792975429 47129615540 93585950858 94259231080 187171901716 233964877145 327550828003 374343803432 467929754290 655101656006 935859508580 1310203312012 1637754140015 1871719017160 2620406624024 3275508280030 6551016560060 13102033120120