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13120432022040 = 2335785318311327
BaseRepresentation
bin1011111011101101011010…
…1100001010001000011000
31201110022010110121010121020
42332323112230022020120
53204431121044201130
643523235424442440
72522630352035310
oct276732654121030
951408113533536
1013120432022040
1141a9386911422
12157a9b2179420
13742336516515
143350648aa440
1517b45c528e10
hexbeed6b0a218

13120432022040 has 128 divisors (see below), whose sum is σ = 45037077442560. Its totient is φ = 2995439952384.

The previous prime is 13120432022039. The next prime is 13120432022081. The reversal of 13120432022040 is 4022023402131.

It is a happy number.

13120432022040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13120432022040.

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, 8439144 + ... + 9872183.

It is an arithmetic number, because the mean of its divisors is an integer number (351852167520).

Almost surely, 213120432022040 is an apocalyptic number.

13120432022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120432022040 is an abundant number, since it is smaller than the sum of its proper divisors (31916645420520).

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

13120432022040 is a wasteful number, since it uses less digits than its factorization.

13120432022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18312201 (or 18312197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13120432022040 its reverse (4022023402131), we get a palindrome (17142455424171).

The spelling of 13120432022040 in words is "thirteen trillion, one hundred twenty billion, four hundred thirty-two million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 853 1706 2559 3412 4265 5118 5971 6824 8530 10236 11942 12795 17060 17913 20472 23884 25590 29855 34120 35826 47768 51180 59710 71652 89565 102360 119420 143304 179130 238840 358260 716520 18311327 36622654 54933981 73245308 91556635 109867962 128179289 146490616 183113270 219735924 256358578 274669905 366226540 384537867 439471848 512717156 549339810 640896445 732453080 769075734 1025434312 1098679620 1281792890 1538151468 1922689335 2197359240 2563585780 3076302936 3845378670 5127171560 7690757340 15381514680 15619561931 31239123862 46858685793 62478247724 78097809655 93717371586 109336933517 124956495448 156195619310 187434743172 218673867034 234293428965 312391238620 328010800551 374869486344 437347734068 468586857930 546684667585 624782477240 656021601102 874695468136 937173715860 1093369335170 1312043202204 1640054002755 1874347431720 2186738670340 2624086404408 3280108005510 4373477340680 6560216011020 13120432022040