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133011142012400 = 245231103104142767
BaseRepresentation
bin11110001111100100010001…
…110111101110110111110000
3122102221202000011221102211212
4132033210101313232313300
5114413223304323344100
61150520250341255252
740005511044412661
oct3617442167566760
9572852004842755
10133011142012400
1139421788088813
1212b0254a404528
13592ab87572a22
1424bbab8b71368
151059dd207e635
hex78f911deedf0

133011142012400 has 120 divisors (see below), whose sum is σ = 333070233759744. Its totient is φ = 50988298233600.

The previous prime is 133011142012393. The next prime is 133011142012451. The reversal of 133011142012400 is 4210241110331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50794184 + ... + 53348583.

Almost surely, 2133011142012400 is an apocalyptic number.

133011142012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011142012400 is an abundant number, since it is smaller than the sum of its proper divisors (200059091747344).

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

133011142012400 is a wasteful number, since it uses less digits than its factorization.

133011142012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104142919 (or 104142908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 133011142012400 its reverse (4210241110331), we get a palindrome (137221383122731).

The spelling of 133011142012400 in words is "one hundred thirty-three trillion, eleven billion, one hundred forty-two million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 103 124 155 200 206 248 310 400 412 496 515 620 775 824 1030 1240 1550 1648 2060 2480 2575 3100 3193 4120 5150 6200 6386 8240 10300 12400 12772 15965 20600 25544 31930 41200 51088 63860 79825 127720 159650 255440 319300 638600 1277200 104142767 208285534 416571068 520713835 833142136 1041427670 1666284272 2082855340 2603569175 3228425777 4165710680 5207138350 6456851554 8331421360 10414276700 10726705001 12913703108 16142128885 20828553400 21453410002 25827406216 32284257770 41657106800 42906820004 51654812432 53633525005 64568515540 80710644425 85813640008 107267050010 129137031080 161421288850 171627280016 214534100020 258274062160 268167625025 322842577700 332527855031 429068200040 536335250050 645685155400 665055710062 858136400080 1072670500100 1291370310800 1330111420124 1662639275155 2145341000200 2660222840248 3325278550310 4290682000400 5320445680496 6650557100620 8313196375775 13301114201240 16626392751550 26602228402480 33252785503100 66505571006200 133011142012400