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123010011102 = 23113171018971
BaseRepresentation
bin111001010001111110…
…1111100111111011110
3102202111210001000111010
41302203331330333132
54003411030323402
6132302055240050
711613205561656
oct1624375747736
9382453030433
10123010011102
1148193a43000
121ba0b979026
13b7a4995524
145d4cdd7366
1532ee375a6c
hex1ca3f7cfde

123010011102 has 128 divisors (see below), whose sum is σ = 289390496256. Its totient is φ = 34731840000.

The previous prime is 123010011053. The next prime is 123010011161. The reversal of 123010011102 is 201110010321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13707477 + ... + 13716447.

It is an arithmetic number, because the mean of its divisors is an integer number (2260863252).

Almost surely, 2123010011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123010011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144695248128).

123010011102 is an abundant number, since it is smaller than the sum of its proper divisors (166380485154).

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

123010011102 is a wasteful number, since it uses less digits than its factorization.

123010011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 123010011102 its reverse (201110010321), we get a palindrome (324120021423).

The spelling of 123010011102 in words is "one hundred twenty-three billion, ten million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 121 187 202 242 303 363 374 561 606 726 1111 1122 1331 1717 2057 2222 2662 3333 3434 3993 4114 5151 6171 6666 7986 8971 10302 12221 12342 17942 18887 22627 24442 26913 36663 37774 45254 53826 56661 67881 73326 98681 113322 134431 135762 152507 197362 207757 268862 296043 305014 403293 415514 457521 592086 623271 806586 906071 915042 1085491 1246542 1677577 1812142 2170982 2285327 2718213 3256473 3355154 4570654 5032731 5436426 6512946 6855981 9966781 10065462 11940401 13711962 15403207 18453347 19933562 23880802 29900343 30806414 35821203 36906694 46209621 55360041 59800686 71642406 92419242 109634591 110720082 169435277 202986817 219269182 328903773 338870554 405973634 508305831 608960451 657807546 1016611662 1205980501 1217920902 1863788047 2411961002 3617941503 3727576094 5591364141 7235883006 11182728282 20501668517 41003337034 61505005551 123010011102