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1203157011132 = 2232832771453657
BaseRepresentation
bin10001100000100001101…
…111110000101010111100
311021000120002011220002200
4101200201233300222330
5124203031143324012
62320420034151500
7152632231566066
oct21404157605274
94230502156080
101203157011132
1142428a8482aa
1217521aa22590
13895c368442b
1442339922736
152146be463dc
hex11821bf0abc

1203157011132 has 72 divisors (see below), whose sum is σ = 3089069767056. Its totient is φ = 394789711104.

The previous prime is 1203157011083. The next prime is 1203157011137. The reversal of 1203157011132 is 2311107513021.

1203157011132 is a `hidden beast` number, since 1 + 20 + 31 + 570 + 1 + 11 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1203157011096 and 1203157011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203157011137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100848 + ... + 1554504.

Almost surely, 21203157011132 is an apocalyptic number.

1203157011132 is a gapful number since it is divisible by the number (12) 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 1203157011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544534883528).

1203157011132 is an abundant number, since it is smaller than the sum of its proper divisors (1885912755924).

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

1203157011132 is a wasteful number, since it uses less digits than its factorization.

1203157011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454027 (or 1454022 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1203157011132 in words is "one trillion, two hundred three billion, one hundred fifty-seven million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 277 332 498 554 747 831 996 1108 1494 1662 2493 2988 3324 4986 9972 22991 45982 68973 91964 137946 206919 275892 413838 827676 1453657 2907314 4360971 5814628 8721942 13082913 17443884 26165826 52331652 120653531 241307062 361960593 402662989 482614124 723921186 805325978 1085881779 1207988967 1447842372 1610651956 2171763558 2415977934 3623966901 4343527116 4831955868 7247933802 14495867604 33421028087 66842056174 100263084261 133684112348 200526168522 300789252783 401052337044 601578505566 1203157011132