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132103420402240 = 2657531112730967
BaseRepresentation
bin11110000010010110111001…
…011100100101101001000000
3122022201222000111120220210001
4132002112321130211221000
5114303340301110332430
61144543250141045344
736553104623135320
oct3602267134455100
9568658014526701
10132103420402240
1139101822984a21
1212996640256854
1358933b7146331
142489ba806b280
1510414a6be83ca
hex7825b9725a40

132103420402240 has 112 divisors (see below), whose sum is σ = 366293230970112. Its totient is φ = 44438023858176.

The previous prime is 132103420402171. The next prime is 132103420402297. The reversal of 132103420402240 is 42204024301231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132103420402199 and 132103420402208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556246764 + ... + 556484203.

Almost surely, 2132103420402240 is an apocalyptic number.

132103420402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132103420402240 is an abundant number, since it is smaller than the sum of its proper divisors (234189810567872).

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

132103420402240 is a wasteful number, since it uses less digits than its factorization.

132103420402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112731044 (or 1112731034 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132103420402240 its reverse (42204024301231), we get a palindrome (174307444703471).

The spelling of 132103420402240 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred twenty million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 1060 1120 1484 1696 1855 2120 2240 2968 3392 3710 4240 5936 7420 8480 11872 14840 16960 23744 29680 59360 118720 1112730967 2225461934 4450923868 5563654835 7789116769 8901847736 11127309670 15578233538 17803695472 22254619340 31156467076 35607390944 38945583845 44509238680 58974741251 62312934152 71214781888 77891167690 89018477360 117949482502 124625868304 155782335380 178036954720 235898965004 249251736608 294873706255 311564670760 356073909440 412823188757 471797930008 498503473216 589747412510 623129341520 825646377514 943595860016 1179494825020 1246258683040 1651292755028 1887191720032 2064115943785 2358989650040 2492517366080 3302585510056 3774383440064 4128231887570 4717979300080 6605171020112 8256463775140 9435958600160 13210342040224 16512927550280 18871917200320 26420684080448 33025855100560 66051710201120 132103420402240