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131021433213400 = 23521727928693757
BaseRepresentation
bin11101110010100111001101…
…111111000001000111011000
3122011220112012221210202200101
4131302213031333001013120
5114133123343400312100
61142354225424345144
736411662153601232
oct3562471577010730
9564815187722611
10131021433213400
1138824972366624
12128409b8a751b4
135815364135902
14244d684da7252
15102327c7d186a
hex7729cdfc11d8

131021433213400 has 144 divisors (see below), whose sum is σ = 327694193863200. Its totient is φ = 48701338183680.

The previous prime is 131021433213371. The next prime is 131021433213427. The reversal of 131021433213400 is 4312334120131.

It is a super-2 number, since 2×1310214332134002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9780679 + ... + 18913078.

It is an arithmetic number, because the mean of its divisors is an integer number (2275654124050).

Almost surely, 2131021433213400 is an apocalyptic number.

131021433213400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021433213400 is an abundant number, since it is smaller than the sum of its proper divisors (196672760649800).

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

131021433213400 is a wasteful number, since it uses less digits than its factorization.

131021433213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28693886 (or 28693860 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131021433213400 its reverse (4312334120131), we get a palindrome (135333767333531).

The spelling of 131021433213400 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred thirty-three million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 79 85 100 136 158 170 200 289 316 340 395 425 578 632 680 790 850 1156 1343 1445 1580 1700 1975 2312 2686 2890 3160 3400 3950 5372 5780 6715 7225 7900 10744 11560 13430 14450 15800 22831 26860 28900 33575 45662 53720 57800 67150 91324 114155 134300 182648 228310 268600 456620 570775 913240 1141550 2283100 4566200 28693757 57387514 114775028 143468785 229550056 286937570 487793869 573875140 717343925 975587738 1147750280 1434687850 1951175476 2266806803 2438969345 2869375700 3902350952 4533613606 4877938690 5738751400 8292495773 9067227212 9755877380 11334034015 12194846725 16584991546 18134454424 19511754760 22668068030 24389693450 33169983092 38535715651 41462478865 45336136060 48779386900 56670170075 66339966184 77071431302 82924957730 90672272120 97558773800 113340340150 154142862604 165849915460 192678578255 207312394325 226680680300 308285725208 331699830920 385357156510 414624788650 453361360600 655107166067 770714313020 829249577300 963392891275 1310214332134 1541428626040 1658499154600 1926785782550 2620428664268 3275535830335 3853571565100 5240857328536 6551071660670 7707143130200 13102143321340 16377679151675 26204286642680 32755358303350 65510716606700 131021433213400