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102434111110020 = 22353762997325209
BaseRepresentation
bin10111010010100111001100…
…110011100011101110000100
3111102200121100022210200100210
4113102213030303203232010
5101411240024421010040
61001505325255235420
730401422523200554
oct2722471463435604
9442617308720323
10102434111110020
112a7030762a7178
12b5a4500678b70
134520659035801
141b41ba1ca7164
15bc982db91480
hex5d29ccce3b84

102434111110020 has 96 divisors (see below), whose sum is σ = 294614086032000. Its totient is φ = 26573276150784.

The previous prime is 102434111110007. The next prime is 102434111110043. The reversal of 102434111110020 is 20011111434201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10321176 + ... + 17646384.

It is an arithmetic number, because the mean of its divisors is an integer number (3068896729500).

Almost surely, 2102434111110020 is an apocalyptic number.

102434111110020 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 102434111110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147307043016000).

102434111110020 is an abundant number, since it is smaller than the sum of its proper divisors (192179974921980).

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

102434111110020 is a wasteful number, since it uses less digits than its factorization.

102434111110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331557 (or 7331555 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 102434111110020 its reverse (20011111434201), we get a palindrome (122445222544221).

The spelling of 102434111110020 in words is "one hundred two trillion, four hundred thirty-four billion, one hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6299 12598 18897 25196 31495 37794 62990 75588 94485 125980 188970 233063 377940 466126 699189 932252 1165315 1398378 2330630 2796756 3495945 4661260 6991890 7325209 13983780 14650418 21975627 29300836 36626045 43951254 73252090 87902508 109878135 146504180 219756270 271032733 439512540 542065466 813098199 1084130932 1355163665 1626196398 2710327330 3252392796 4065490995 5420654660 8130981990 16261963980 46141491491 92282982982 138424474473 184565965964 230707457455 276848948946 461414914910 553697897892 692122372365 922829829820 1384244744730 1707235185167 2768489489460 3414470370334 5121705555501 6828940740668 8536175925835 10243411111002 17072351851670 20486822222004 25608527777505 34144703703340 51217055555010 102434111110020