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1006054701102 = 233112153972253
BaseRepresentation
bin11101010001111011000…
…10000111100000101110
310120011210200102002222000
432220331202013200232
5112440400000413402
62050101455433130
7132453654601563
oct16507542074056
93504720362860
101006054701102
11358735718500
12142b918257a6
1373b417a7709
143699c61486a
151b2830a6c1c
hexea3d88782e

1006054701102 has 48 divisors (see below), whose sum is σ = 2457397173840. Its totient is φ = 304865058960.

The previous prime is 1006054701073. The next prime is 1006054701109. The reversal of 1006054701102 is 2011074506001.

It is a happy number.

1006054701102 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 547 + 0 + 110 + 2 = 666.

1006054701102 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006054701109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76979593 + ... + 76992660.

It is an arithmetic number, because the mean of its divisors is an integer number (51195774455).

Almost surely, 21006054701102 is an apocalyptic number.

1006054701102 is an abundant number, since it is smaller than the sum of its proper divisors (1451342472738).

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

1006054701102 is a wasteful number, since it uses less digits than its factorization.

1006054701102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153972286 (or 153972269 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1006054701102 in words is "one trillion, six billion, fifty-four million, seven hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 153972253 307944506 461916759 923833518 1385750277 1693694783 2771500554 3387389566 4157250831 5081084349 8314501662 10162168698 15243253047 18630642613 30486506094 37261285226 45729759141 55891927839 91459518282 111783855678 167675783517 335351567034 503027350551 1006054701102