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123121230100 = 225211176798269
BaseRepresentation
bin111001010101010011…
…0001110000100010100
3102202210112022112021021
41302222212032010110
54004123013330400
6132321111130524
711616026121421
oct1625246160424
9382715275237
10123121230100
11482407a7530
121ba41073a44
13b7c1a3669b
145d5daa8d48
153308ee471a
hex1caa98e114

123121230100 has 144 divisors (see below), whose sum is σ = 313215577920. Its totient is φ = 41508403200.

The previous prime is 123121230091. The next prime is 123121230121. The reversal of 123121230100 is 1032121321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203766 + ... + 1302034.

It is an arithmetic number, because the mean of its divisors is an integer number (2175108180).

Almost surely, 2123121230100 is an apocalyptic number.

123121230100 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 123121230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156607788960).

123121230100 is an abundant number, since it is smaller than the sum of its proper divisors (190094347820).

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

123121230100 is a wasteful number, since it uses less digits than its factorization.

123121230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98378 (or 98371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123121230100 its reverse (1032121321), we get a palindrome (124153351421).

The spelling of 123121230100 in words is "one hundred twenty-three billion, one hundred twenty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 67 68 85 100 110 134 170 187 220 268 275 335 340 374 425 550 670 737 748 850 935 1100 1139 1340 1474 1675 1700 1870 2278 2948 3350 3685 3740 4556 4675 5695 6700 7370 9350 11390 12529 14740 18425 18700 22780 25058 28475 36850 50116 56950 62645 73700 98269 113900 125290 196538 250580 313225 393076 491345 626450 982690 1080959 1252900 1670573 1965380 2161918 2456725 3341146 4323836 4913450 5404795 6584023 6682292 8352865 9826900 10809590 13168046 16705730 18376303 21619180 26336092 27023975 32920115 33411460 36752606 41764325 54047950 65840230 72424253 73505212 83528650 91881515 108095900 111928391 131680460 144848506 164600575 167057300 183763030 223856782 289697012 329201150 362121265 367526060 447713564 459407575 559641955 658402300 724242530 918815150 1119283910 1231212301 1448485060 1810606325 1837630300 2238567820 2462424602 2798209775 3621212650 4924849204 5596419550 6156061505 7242425300 11192839100 12312123010 24624246020 30780307525 61560615050 123121230100