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132020011511120 = 24519432019890017
BaseRepresentation
bin11110000001001001001101…
…111000111010110101010000
3122022102222201121001020021102
4132001021031320322311100
5114301003440421323440
61144441053411043532
736544062646225535
oct3601111570726520
9568388647036242
10132020011511120
113907a41081a557
12129824428a05a8
1358885839c47a5
142485b3468cd8c
15103e224317b15
hex78124de3ad50

132020011511120 has 80 divisors (see below), whose sum is σ = 330615598146240. Its totient is φ = 48865179267072.

The previous prime is 132020011511099. The next prime is 132020011511123. The reversal of 132020011511120 is 21115110020231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132020011511092 and 132020011511101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020011511123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009879649 + ... + 1010010368.

It is an arithmetic number, because the mean of its divisors is an integer number (4132694976828).

Almost surely, 2132020011511120 is an apocalyptic number.

132020011511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132020011511120 is an abundant number, since it is smaller than the sum of its proper divisors (198595586635120).

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

132020011511120 is a wasteful number, since it uses less digits than its factorization.

132020011511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019890092 (or 2019890086 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 132020011511120 its reverse (21115110020231), we get a palindrome (153135121531351).

The spelling of 132020011511120 in words is "one hundred thirty-two trillion, twenty billion, eleven million, five hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 3268 3440 4085 6536 8170 13072 16340 32680 65360 2019890017 4039780034 8079560068 10099450085 16159120136 20198900170 32318240272 38377910323 40397800340 76755820646 80795600680 86855270731 153511641292 161591201360 173710541462 191889551615 307023282584 347421082924 383779103230 434276353655 614046565168 694842165848 767558206460 868552707310 1389684331696 1535116412920 1650250143889 1737105414620 3070232825840 3300500287778 3474210829240 6601000575556 6948421658480 8251250719445 13202001151112 16502501438890 26404002302224 33005002877780 66010005755560 132020011511120