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13023002231200 = 25521337409537
BaseRepresentation
bin1011110110000010011101…
…1011000000000110100000
31201002222122102020221111101
42331200213123000012200
53201332102032344300
643410403514124144
72512611064343053
oct275404733000640
951088572227441
1013023002231200
11417102a283525
121563b41120654
137360aa349000
14330460d34a9a
15178b58c87b6a
hexbd8276c01a0

13023002231200 has 144 divisors (see below), whose sum is σ = 34440569959320. Its totient is φ = 4808492482560.

The previous prime is 13023002231179. The next prime is 13023002231203. The reversal of 13023002231200 is 213220032031.

It can be written as a sum of positive squares in 12 ways, for example, as 3997616355216 + 9025385875984 = 1999404^2 + 3004228^2 .

It is a super-2 number, since 2×130230022312002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13023002231203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1947169 + ... + 5462368.

Almost surely, 213023002231200 is an apocalyptic number.

13023002231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023002231200 is an abundant number, since it is smaller than the sum of its proper divisors (21417567728120).

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

13023002231200 is an equidigital number, since it uses as much as digits as its factorization.

13023002231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409596 (or 7409557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13023002231200 its reverse (213220032031), we get a palindrome (13236222263231).

The spelling of 13023002231200 in words is "thirteen trillion, twenty-three billion, two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 169 200 208 260 325 338 400 416 520 650 676 800 845 1040 1300 1352 1690 2080 2197 2600 2704 3380 4225 4394 5200 5408 6760 8450 8788 10400 10985 13520 16900 17576 21970 27040 33800 35152 43940 54925 67600 70304 87880 109850 135200 175760 219700 351520 439400 878800 1757600 7409537 14819074 29638148 37047685 59276296 74095370 96323981 118552592 148190740 185238425 192647962 237105184 296381480 370476850 385295924 481619905 592762960 740953700 770591848 963239810 1185525920 1252211753 1481907400 1541183696 1926479620 2408099525 2504423506 2963814800 3082367392 3852959240 4816199050 5008847012 5927629600 6261058765 7705918480 9632398100 10017694024 12522117530 15411836960 16278752789 19264796200 20035388048 25044235060 31305293825 32557505578 38529592400 40070776096 50088470120 62610587650 65115011156 77059184800 81393763945 100176940240 125221175300 130230022312 162787527890 200353880480 250442350600 260460044624 325575055780 406968819725 500884701200 520920089248 651150111560 813937639450 1001769402400 1302300223120 1627875278900 2604600446240 3255750557800 6511501115600 13023002231200