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131001213200 = 245211132290231
BaseRepresentation
bin111101000000001000…
…1111110000100010000
3110112010200220010221012
41322000101332010100
54121242302310300
6140103042350052
712315221640164
oct1720021760420
9415120803835
10131001213200
1150614851460
122148005b328
13c479447c90
1464aa450ca4
15361abd4435
hex1e8047e110

131001213200 has 120 divisors (see below), whose sum is σ = 369753375936. Its totient is φ = 43972416000.

The previous prime is 131001213193. The next prime is 131001213221. The reversal of 131001213200 is 2312100131.

It is a super-2 number, since 2×1310012132002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087916 + ... + 1202315.

Almost surely, 2131001213200 is an apocalyptic number.

131001213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001213200 is an abundant number, since it is smaller than the sum of its proper divisors (238752162736).

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

131001213200 is a wasteful number, since it uses less digits than its factorization.

131001213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290273 (or 2290262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131001213200 its reverse (2312100131), we get a palindrome (133313313331).

The spelling of 131001213200 in words is "one hundred thirty-one billion, one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 2290231 4580462 9160924 11451155 18321848 22902310 25192541 29773003 36643696 45804620 50385082 57255775 59546006 91609240 100770164 114511550 119092012 125962705 148865015 183218480 201540328 229023100 238184024 251925410 297730030 327503033 403080656 458046200 476368048 503850820 595460060 629813525 655006066 744325075 916092400 1007701640 1190920120 1259627050 1310012132 1488650150 1637515165 2015403280 2381840240 2519254100 2620024264 2977300300 3275030330 5038508200 5240048528 5954600600 6550060660 8187575825 10077016400 11909201200 13100121320 16375151650 26200242640 32750303300 65500606600 131001213200