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1145251202140 = 2251979337111317
BaseRepresentation
bin10000101010100110010…
…010101000010001011100
311001111002112012000100101
4100222212102220101130
5122230433301432030
62234042055510444
7145512251412403
oct20524622502134
94044075160311
101145251202140
114017754a0a11
12165b5a388424
1383cc5a60026
143d60524663a
151ebcd4ae7ca
hex10aa64a845c

1145251202140 has 96 divisors (see below), whose sum is σ = 2564640691200. Its totient is φ = 428331421440.

The previous prime is 1145251202111. The next prime is 1145251202143. The reversal of 1145251202140 is 412021525411.

It is a junction number, because it is equal to n+sod(n) for n = 1145251202099 and 1145251202108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145251202143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101191762 + ... + 101203078.

It is an arithmetic number, because the mean of its divisors is an integer number (26715007200).

Almost surely, 21145251202140 is an apocalyptic number.

1145251202140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145251202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282320345600).

1145251202140 is an abundant number, since it is smaller than the sum of its proper divisors (1419389489060).

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

1145251202140 is a wasteful number, since it uses less digits than its factorization.

1145251202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14795 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 1145251202140 its reverse (412021525411), we get a palindrome (1557272727551).

The spelling of 1145251202140 in words is "one trillion, one hundred forty-five billion, two hundred fifty-one million, two hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 3371 6004 6742 7505 11317 13484 15010 16855 22634 30020 33710 45268 56585 64049 67420 113170 128098 215023 226340 256196 266309 320245 430046 532618 640490 860092 894043 1065236 1075115 1280980 1331545 1788086 2150230 2663090 3576172 4300460 4470215 5059871 5326180 8940430 10119742 16986817 17880860 20239484 25299355 33973634 38149607 50598710 67947268 76299214 84934085 101197420 152598428 169868170 190748035 339736340 381496070 724842533 762992140 1449685066 2899370132 3013818953 3624212665 6027637906 7248425330 12055275812 14496850660 15069094765 30138189530 57262560107 60276379060 114525120214 229050240428 286312800535 572625601070 1145251202140