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103126606440 = 233511136009709
BaseRepresentation
bin110000000001011010…
…0110010001001101000
3100212012001220101222020
41200002310302021220
53142200402401230
6115213053024440
710310400456114
oct1400264621150
9325161811866
10103126606440
113a81030a870
1217ba0a85120
1399564c1c20
144dc43c2744
152a3898b810
hex1802d32268

103126606440 has 128 divisors (see below), whose sum is σ = 363467260800. Its totient is φ = 23077278720.

The previous prime is 103126606381. The next prime is 103126606459. The reversal of 103126606440 is 44606621301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987695 + ... + 3022014.

It is an arithmetic number, because the mean of its divisors is an integer number (2839587975).

Almost surely, 2103126606440 is an apocalyptic number.

103126606440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103126606440 is an abundant number, since it is smaller than the sum of its proper divisors (260340654360).

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

103126606440 is a wasteful number, since it uses less digits than its factorization.

103126606440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009747 (or 6009743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 103126606440 in words is "one hundred three billion, one hundred twenty-six million, six hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 6009709 12019418 18029127 24038836 30048545 36058254 48077672 60097090 66106799 72116508 78126217 90145635 120194180 132213598 144233016 156252434 180291270 198320397 234378651 240388360 264427196 312504868 330533995 360582540 390631085 396640794 468757302 528854392 625009736 661067990 721165080 781262170 793281588 859388387 937514604 991601985 1171893255 1322135980 1562524340 1586563176 1718776774 1875029208 1983203970 2343786510 2578165161 2644271960 3125048680 3437553548 3966407940 4296941935 4687573020 5156330322 6875107096 7932815880 8593883870 9375146040 10312660644 12890825805 17187767740 20625321288 25781651610 34375535480 51563303220 103126606440