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131044251003030 = 23351493257376361
BaseRepresentation
bin11101110010111100011110…
…000001111110100010010110
3122011222201010011111120122000
4131302330132001332202112
5114134012111224044110
61142412521533020130
736413430462605241
oct3562743601764226
9564881104446560
10131044251003030
1138833611413702
1212845306624646
13581755c528a91
14245080b5c4258
151023b65aed1c0
hex772f1e07e896

131044251003030 has 64 divisors (see below), whose sum is σ = 351796647096000. Its totient is φ = 34710602492160.

The previous prime is 131044251003019. The next prime is 131044251003053. The reversal of 131044251003030 is 30300152440131.

It is a happy number.

131044251003030 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 251 + 0 + 0 + 303 + 0 = 666.

It is a super-2 number, since 2×1310442510030302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131044251002985 and 131044251003003.

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, 1628647951 + ... + 1628728410.

It is an arithmetic number, because the mean of its divisors is an integer number (5496822610875).

Almost surely, 2131044251003030 is an apocalyptic number.

131044251003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131044251003030 is an abundant number, since it is smaller than the sum of its proper divisors (220752396092970).

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

131044251003030 is a wasteful number, since it uses less digits than its factorization.

131044251003030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257376526 (or 3257376520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 131044251003030 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-one million, three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 4023 4470 6705 8046 13410 20115 40230 3257376361 6514752722 9772129083 16286881805 19544258166 29316387249 32573763610 48860645415 58632774498 87949161747 97721290830 146581936245 175898323494 293163872490 439745808735 485349077789 879491617470 970698155578 1456047233367 2426745388945 2912094466734 4368141700101 4853490777890 7280236166835 8736283400202 13104425100303 14560472333670 21840708500505 26208850200606 43681417001010 65522125501515 131044251003030