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131142103001140 = 225711683124681127
BaseRepresentation
bin11101110100010111100110…
…011101101110100000110100
3122012100001200122022010020011
4131310113212131232200310
5114142113011332014030
61142525503404550004
736423463365063460
oct3564274635564064
9565301618263204
10131142103001140
1138871065305130
1212860274b52304
13582385501188a
1424554512614a0
15102649148cb2a
hex7745e676e834

131142103001140 has 96 divisors (see below), whose sum is σ = 343856586737664. Its totient is φ = 40815613407360.

The previous prime is 131142103001069. The next prime is 131142103001191. The reversal of 131142103001140 is 41100301241131.

It is a super-2 number, since 2×1311421030011402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 61288744 + ... + 63392383.

It is an arithmetic number, because the mean of its divisors is an integer number (3581839445184).

Almost surely, 2131142103001140 is an apocalyptic number.

131142103001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142103001140 is an abundant number, since it is smaller than the sum of its proper divisors (212714483736524).

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

131142103001140 is a wasteful number, since it uses less digits than its factorization.

131142103001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124681837 (or 124681835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131142103001140 its reverse (41100301241131), we get a palindrome (172242404242271).

The spelling of 131142103001140 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 683 770 1366 1540 2732 3415 4781 6830 7513 9562 13660 15026 19124 23905 30052 37565 47810 52591 75130 95620 105182 150260 210364 262955 525910 1051820 124681127 249362254 498724508 623405635 872767889 1246811270 1371492397 1745535778 2493622540 2742984794 3491071556 4363839445 5485969588 6857461985 8727678890 9600446779 13714923970 17455357780 19200893558 27429847940 38401787116 48002233895 85157209741 96004467790 170314419482 192008935580 340628838964 425786048705 596100468187 851572097410 936729307151 1192200936374 1703144194820 1873458614302 2384401872748 2980502340935 3746917228604 4683646535755 5961004681870 6557105150057 9367293071510 11922009363740 13114210300114 18734586143020 26228420600228 32785525750285 65571051500570 131142103001140