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13601220303120 = 2435594012395357
BaseRepresentation
bin1100010111101100011111…
…1001111001100100010000
31210011021010102120101221120
43011323013321321210100
53240320244344144440
644532151522122240
72602440630015432
oct305730771714420
953137112511846
1013601220303120
11437427730706a
1216380111b0380
13778788398478
143504343a2652
15188beb700dd0
hexc5ec7e79910

13601220303120 has 160 divisors (see below), whose sum is σ = 42985370010240. Its totient is φ = 3556624588800.

The previous prime is 13601220303089. The next prime is 13601220303133. The reversal of 13601220303120 is 2130302210631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4480482 + ... + 6875838.

It is an arithmetic number, because the mean of its divisors is an integer number (268658562564).

Almost surely, 213601220303120 is an apocalyptic number.

13601220303120 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 13601220303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492685005120).

13601220303120 is an abundant number, since it is smaller than the sum of its proper divisors (29384149707120).

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

13601220303120 is a wasteful number, since it uses less digits than its factorization.

13601220303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395833 (or 2395827 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13601220303120 its reverse (2130302210631), we get a palindrome (15731522513751).

The spelling of 13601220303120 in words is "thirteen trillion, six hundred one billion, two hundred twenty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 401 472 590 708 802 885 944 1180 1203 1416 1604 1770 2005 2360 2406 2832 3208 3540 4010 4720 4812 6015 6416 7080 8020 9624 12030 14160 16040 19248 23659 24060 32080 47318 48120 70977 94636 96240 118295 141954 189272 236590 283908 354885 378544 473180 567816 709770 946360 1135632 1419540 1892720 2395357 2839080 4790714 5678160 7186071 9581428 11976785 14372142 19162856 23953570 28744284 35930355 38325712 47907140 57488568 71860710 95814280 114977136 141326063 143721420 191628560 282652126 287442840 423978189 565304252 574885680 706630315 847956378 960538157 1130608504 1413260630 1695912756 1921076314 2119890945 2261217008 2826521260 2881614471 3391825512 3842152628 4239781890 4802690785 5653042520 5763228942 6783651024 7684305256 8479563780 9605381570 11306085040 11526457884 14408072355 15368610512 16959127560 19210763140 23052915768 28816144710 33918255120 38421526280 46105831536 56671751263 57632289420 76843052560 113343502526 115264578840 170015253789 226687005052 230529157680 283358756315 340030507578 453374010104 566717512630 680061015156 850076268945 906748020208 1133435025260 1360122030312 1700152537890 2266870050520 2720244060624 3400305075780 4533740101040 6800610151560 13601220303120