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13011120300 = 22352371677019
BaseRepresentation
bin11000001111000010…
…11111000010101100
31020120202201101122110
430013201133002230
5203121321322200
65551025244020
7640266461223
oct140741370254
936522641573
1013011120300
115577490292
122631493610
1312c4796469
148b6021cba
155123ebb50
hex30785f0ac

13011120300 has 144 divisors (see below), whose sum is σ = 38900010240. Its totient is φ = 3355165440.

The previous prime is 13011120281. The next prime is 13011120301. The reversal of 13011120300 is 302111031.

It is a super-2 number, since 2×130111203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13011120301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850191 + ... + 1857209.

It is an arithmetic number, because the mean of its divisors is an integer number (270138960).

Almost surely, 213011120300 is an apocalyptic number.

13011120300 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 13011120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

13011120300 is an abundant number, since it is smaller than the sum of its proper divisors (25888889940).

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

13011120300 is a wasteful number, since it uses less digits than its factorization.

13011120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13011120300 its reverse (302111031), we get a palindrome (13313231331).

The spelling of 13011120300 in words is "thirteen billion, eleven million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 167 185 222 300 334 370 444 501 555 668 740 835 925 1002 1110 1670 1850 2004 2220 2505 2775 3340 3700 4175 5010 5550 6179 7019 8350 10020 11100 12358 12525 14038 16700 18537 21057 24716 25050 28076 30895 35095 37074 42114 50100 61790 70190 74148 84228 92685 105285 123580 140380 154475 175475 185370 210570 259703 308950 350950 370740 421140 463425 519406 526425 617900 701900 779109 926850 1038812 1052850 1172173 1298515 1558218 1853700 2105700 2344346 2597030 3116436 3516519 3895545 4688692 5194060 5860865 6492575 7033038 7791090 11721730 12985150 14066076 15582180 17582595 19477725 23443460 25970300 29304325 35165190 38955450 43370401 58608650 70330380 77910900 86740802 87912975 117217300 130111203 173481604 175825950 216852005 260222406 351651900 433704010 520444812 650556015 867408020 1084260025 1301112030 2168520050 2602224060 3252780075 4337040100 6505560150 13011120300