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123423114100 = 2252111379109253
BaseRepresentation
bin111001011110010010…
…1110100001101110100
3102210120120100211021011
41302330211310031310
54010232304122400
6132411053402004
711626353105616
oct1627445641564
9383516324234
10123423114100
1148386148440
121bb06199304
13b83c443b80
145d8bc0cdb6
1533257768ba
hex1cbc974374

123423114100 has 144 divisors (see below), whose sum is σ = 318637105920. Its totient is φ = 40903948800.

The previous prime is 123423114037. The next prime is 123423114109. The reversal of 123423114100 is 1411324321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123423114109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075074 + ... + 1184326.

It is an arithmetic number, because the mean of its divisors is an integer number (2212757680).

Almost surely, 2123423114100 is an apocalyptic number.

123423114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123423114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159318552960).

123423114100 is an abundant number, since it is smaller than the sum of its proper divisors (195213991820).

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

123423114100 is a wasteful number, since it uses less digits than its factorization.

123423114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109370 (or 109363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 123423114100 its reverse (1411324321), we get a palindrome (124834438421).

The spelling of 123423114100 in words is "one hundred twenty-three billion, four hundred twenty-three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 79 100 110 130 143 158 220 260 275 286 316 325 395 550 572 650 715 790 869 1027 1100 1300 1430 1580 1738 1975 2054 2860 3476 3575 3950 4108 4345 5135 7150 7900 8690 10270 11297 14300 17380 20540 21725 22594 25675 43450 45188 51350 56485 86900 102700 109253 112970 218506 225940 282425 437012 546265 564850 1092530 1129700 1201783 1420289 2185060 2403566 2731325 2840578 4807132 5462650 5681156 6008915 7101445 8630987 10925300 12017830 14202890 15623179 17261974 24035660 28405780 30044575 31246358 34523948 35507225 43154935 60089150 62492716 71014450 78115895 86309870 94940857 112202831 120178300 142028900 156231790 172619740 189881714 215774675 224405662 312463580 379763428 390579475 431549350 448811324 474704285 561014155 781158950 863098700 949408570 1122028310 1234231141 1562317900 1898817140 2244056620 2373521425 2468462282 2805070775 4747042850 4936924564 5610141550 6171155705 9494085700 11220283100 12342311410 24684622820 30855778525 61711557050 123423114100