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1203157011040 = 25553157190313
BaseRepresentation
bin10001100000100001101…
…111110000101001100000
311021000120002011212222021
4101200201233300221200
5124203031143323130
62320420034151224
7152632231565605
oct21404157605140
94230502155867
101203157011040
1142428a848226
1217521aa22514
13895c368438a
14423399226ac
152146be4637a
hex11821bf0a60

1203157011040 has 96 divisors (see below), whose sum is σ = 2897965286496. Its totient is φ = 471876587520.

The previous prime is 1203157011031. The next prime is 1203157011041. The reversal of 1203157011040 is 401107513021.

It is a junction number, because it is equal to n+sod(n) for n = 1203157010996 and 1203157011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203157011041) 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, 13276924 + ... + 13367236.

It is an arithmetic number, because the mean of its divisors is an integer number (30187138401).

Almost surely, 21203157011040 is an apocalyptic number.

1203157011040 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 1203157011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448982643248).

1203157011040 is an abundant number, since it is smaller than the sum of its proper divisors (1694808275456).

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

1203157011040 is a wasteful number, since it uses less digits than its factorization.

1203157011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91952 (or 91944 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 1203157011040 in words is "one trillion, two hundred three billion, one hundred fifty-seven million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1571 1696 2120 3142 4240 6284 7855 8480 12568 15710 25136 31420 50272 62840 83263 90313 125680 166526 180626 251360 333052 361252 416315 451565 666104 722504 832630 903130 1332208 1445008 1665260 1806260 2664416 2890016 3330520 3612520 4786589 6661040 7225040 9573178 13322080 14450080 19146356 23932945 38292712 47865890 76585424 95731780 141881723 153170848 191463560 283763446 382927120 567526892 709408615 765854240 1135053784 1418817230 2270107568 2837634460 4540215136 5675268920 7519731319 11350537840 15039462638 22701075680 30078925276 37598656595 60157850552 75197313190 120315701104 150394626380 240631402208 300789252760 601578505520 1203157011040