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131130133140120 = 233515232358130427
BaseRepresentation
bin11101110100001100011101…
…000000010101001010011000
3122012021220210102220011210020
4131310030131000111022120
5114141414003040440440
61142520203533150440
736422560640664462
oct3564143500251230
9565256712804706
10131130133140120
1138866a82669404
1212859a9432b420
1358226981a038a
142454a3764b132
151025ee06c23d0
hex77431d015298

131130133140120 has 128 divisors (see below), whose sum is σ = 393678330589440. Its totient is φ = 34942445176320.

The previous prime is 131130133140107. The next prime is 131130133140161. The reversal of 131130133140120 is 21041331031131.

It is a super-3 number, since 3×1311301331401203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 4309648347 + ... + 4309678773.

It is an arithmetic number, because the mean of its divisors is an integer number (3075611957730).

Almost surely, 2131130133140120 is an apocalyptic number.

131130133140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130133140120 is an abundant number, since it is smaller than the sum of its proper divisors (262548197449320).

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

131130133140120 is a wasteful number, since it uses less digits than its factorization.

131130133140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55545 (or 55541 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131130133140120 its reverse (21041331031131), we get a palindrome (152171464171251).

The spelling of 131130133140120 in words is "one hundred thirty-one trillion, one hundred thirty billion, one hundred thirty-three million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1523 3046 4569 6092 7615 9138 12184 15230 18276 22845 23581 30427 30460 36552 45690 47162 60854 60920 70743 91281 91380 94324 117905 121708 141486 152135 182562 182760 188648 235810 243416 282972 304270 353715 365124 456405 471620 565944 608540 707430 730248 912810 943240 1217080 1414860 1825620 2829720 3651240 35913863 46340321 71827726 92680642 107741589 139020963 143655452 179569315 185361284 215483178 231701605 278041926 287310904 359138630 370722568 430966356 463403210 538707945 556083852 695104815 717499087 718277260 861932712 926806420 1077415890 1112167704 1390209630 1434998174 1436554520 1853612840 2152497261 2154831780 2780419260 2869996348 3587495435 4304994522 4309663560 5560838520 5739992696 7174990870 8609989044 10762486305 14349981740 17219978088 21524972610 28699963480 43049945220 86099890440 1092751109501 2185502219002 3278253328503 4371004438004 5463755547505 6556506657006 8742008876008 10927511095010 13113013314012 16391266642515 21855022190020 26226026628024 32782533285030 43710044380040 65565066570060 131130133140120