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102029311128 = 23317439156951
BaseRepresentation
bin101111100000101101…
…0111011110010011000
3100202100121011000210010
41133001122323302120
53132424000424003
6114512134121520
710241244556323
oct1370132736230
9322317130703
10102029311128
113a2a7982638
12179354b02a0
13981007a364
144d1c7897ba
1529c248c003
hex17c16bbc98

102029311128 has 64 divisors (see below), whose sum is σ = 270143838720. Its totient is φ = 32001344000.

The previous prime is 102029311127. The next prime is 102029311141. The reversal of 102029311128 is 821113920201.

It is a junction number, because it is equal to n+sod(n) for n = 102029311095 and 102029311104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102029311123) 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, 1763053 + ... + 1820003.

It is an arithmetic number, because the mean of its divisors is an integer number (4220997480).

Almost surely, 2102029311128 is an apocalyptic number.

It is an amenable number.

102029311128 is an abundant number, since it is smaller than the sum of its proper divisors (168114527592).

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

102029311128 is a wasteful number, since it uses less digits than its factorization.

102029311128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61368 (or 61364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 102029311128 in words is "one hundred two billion, twenty-nine million, three hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4391 8782 13173 17564 26346 35128 52692 56951 74647 105384 113902 149294 170853 223941 227804 298588 341706 447882 455608 597176 683412 895764 968167 1366824 1791528 1936334 2904501 3872668 5809002 7745336 11618004 23236008 250071841 500143682 750215523 1000287364 1500431046 2000574728 3000862092 4251221297 6001724184 8502442594 12753663891 17004885188 25507327782 34009770376 51014655564 102029311128