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103123032132200 = 23525397100294721
BaseRepresentation
bin10111011100101000110011…
…101100101100101001101000
3111112010110120102020200122212
4113130220303230230221220
5102004031432211212300
61003154022243504252
730502251604233323
oct2734506354545150
9445113512220585
10103123032132200
112a949261254853
12b695b26988088
1345705ca0b5072
141b67277a1d7ba
15bdc7002a8935
hex5dca33b2ca68

103123032132200 has 96 divisors (see below), whose sum is σ = 246803246003160. Its totient is φ = 40053699379200.

The previous prime is 103123032132193. The next prime is 103123032132233. The reversal of 103123032132200 is 2231230321301.

It can be written as a sum of positive squares in 12 ways, for example, as 24295021284004 + 78828010848196 = 4928998^2 + 8878514^2 .

It is a super-2 number, since 2×1031230321322002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49119161 + ... + 51175560.

Almost surely, 2103123032132200 is an apocalyptic number.

103123032132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103123032132200 is an abundant number, since it is smaller than the sum of its proper divisors (143680213870960).

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

103123032132200 is a wasteful number, since it uses less digits than its factorization.

103123032132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100294887 (or 100294878 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 103123032132200 its reverse (2231230321301), we get a palindrome (105354262453501).

The spelling of 103123032132200 in words is "one hundred three trillion, one hundred twenty-three billion, thirty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 97 100 106 194 200 212 265 388 424 485 530 776 970 1060 1325 1940 2120 2425 2650 3880 4850 5141 5300 9700 10282 10600 19400 20564 25705 41128 51410 102820 128525 205640 257050 514100 1028200 100294721 200589442 401178884 501473605 802357768 1002947210 2005894420 2507368025 4011788840 5014736050 5315620213 9728587937 10029472100 10631240426 19457175874 20058944200 21262480852 26578101065 38914351748 42524961704 48642939685 53156202130 77828703496 97285879370 106312404260 132890505325 194571758740 212624808520 243214698425 265781010650 389143517480 486429396850 515615160661 531562021300 972858793700 1031230321322 1063124042600 1945717587400 2062460642644 2578075803305 4124921285288 5156151606610 10312303213220 12890379016525 20624606426440 25780758033050 51561516066100 103123032132200