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1011302232102 = 234241178914479
BaseRepresentation
bin11101011011101100100…
…11110111000000100110
310120200100101120022020000
432231312103313000212
5113032121332411402
62052330312322130
7133031004066021
oct16556623670046
93520311508200
101011302232102
1135a988822188
12143bb70a3346
13744999c2c46
1436d3950c1b8
151b48db05c1c
hexeb764f7026

1011302232102 has 80 divisors (see below), whose sum is σ = 2276898043200. Its totient is φ = 335491165440.

The previous prime is 1011302232091. The next prime is 1011302232107. The reversal of 1011302232102 is 2012322031101.

1011302232102 is a `hidden beast` number, since 101 + 130 + 223 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011302232107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69838899 + ... + 69853377.

It is an arithmetic number, because the mean of its divisors is an integer number (28461225540).

Almost surely, 21011302232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011302232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138449021600).

1011302232102 is an abundant number, since it is smaller than the sum of its proper divisors (1265595811098).

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

1011302232102 is a wasteful number, since it uses less digits than its factorization.

1011302232102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16523 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011302232102 its reverse (2012322031101), we get a palindrome (3023624263203).

The spelling of 1011302232102 in words is "one trillion, eleven billion, three hundred two million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 482 723 1446 1789 2169 3578 4338 5367 6507 10734 13014 14479 16101 19521 28958 32202 39042 43437 48303 86874 96606 130311 144909 260622 289818 390933 431149 781866 862298 1172799 1293447 2345598 2586894 3489439 3880341 6978878 7760682 10468317 11641023 20936634 23282046 25902931 31404951 34923069 51805862 62809902 69846138 77708793 94214853 155417586 188429706 233126379 282644559 466252758 565289118 699379137 1398758274 2098137411 4196274822 6242606371 12485212742 18727819113 37455638226 56183457339 112366914678 168550372017 337100744034 505651116051 1011302232102