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123460766130 = 23513718353719
BaseRepresentation
bin111001011111011010…
…1011100100110110010
3102210200012012202010210
41302332311130212302
54010321424004010
6132414520404550
711630321124402
oct1627665344662
9383605182123
10123460766130
11483a5424a19
121bb16916756
13b847197a90
145d92c10802
153328c12b20
hex1cbed5c9b2

123460766130 has 128 divisors (see below), whose sum is σ = 327497748480. Its totient is φ = 29600766720.

The previous prime is 123460766089. The next prime is 123460766137. The reversal of 123460766130 is 31667064321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (123460766137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2271411 + ... + 2325129.

It is an arithmetic number, because the mean of its divisors is an integer number (2558576160).

Almost surely, 2123460766130 is an apocalyptic number.

123460766130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123460766130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163748874240).

123460766130 is an abundant number, since it is smaller than the sum of its proper divisors (204036982350).

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

123460766130 is a wasteful number, since it uses less digits than its factorization.

123460766130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53896.

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 123460766130 in words is "one hundred twenty-three billion, four hundred sixty million, seven hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 83 130 142 166 195 213 249 355 390 415 426 498 710 830 923 1065 1079 1245 1846 2130 2158 2490 2769 3237 4615 5395 5538 5893 6474 9230 10790 11786 13845 16185 17679 27690 29465 32370 35358 53719 58930 76609 88395 107438 153218 161157 176790 229827 268595 322314 383045 459654 537190 698347 766090 805785 1149135 1396694 1611570 2095041 2298270 3491735 3814049 4190082 4458677 6983470 7628098 8917354 10475205 11442147 13376031 19070245 20950410 22293385 22884294 26752062 38140490 44586770 49582637 57210735 57962801 66880155 99165274 114421470 115925602 133760310 148747911 173888403 247913185 289814005 297495822 316566067 347776806 495826370 579628010 633132134 743739555 869442015 949698201 1487479110 1582830335 1738884030 1899396402 3165660670 4115358871 4748491005 8230717742 9496982010 12346076613 20576794355 24692153226 41153588710 61730383065 123460766130