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103310010000 = 2432541147889
BaseRepresentation
bin110000000110111000…
…0011010011010010000
3100212122212000021100200
41200031300122122100
53143034330310000
6115243204015200
710315055411301
oct1401560323220
9325585007320
10103310010000
113a8a489765a
1218032391500
1399854b8042
1450008c47a8
152a49b18500
hex180dc1a690

103310010000 has 150 divisors (see below), whose sum is σ = 361290342270. Its totient is φ = 27549312000.

The previous prime is 103310009983. The next prime is 103310010007. The reversal of 103310010000 is 10013301.

It can be written as a sum of positive squares in 5 ways, for example, as 42858936576 + 60451073424 = 207024^2 + 245868^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103310010007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 483945 + ... + 663944.

Almost surely, 2103310010000 is an apocalyptic number.

103310010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103310010000 is an abundant number, since it is smaller than the sum of its proper divisors (257980332270).

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

103310010000 is a wasteful number, since it uses less digits than its factorization.

103310010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147923 (or 1147899 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103310010000 its reverse (10013301), we get a palindrome (103320023301).

The spelling of 103310010000 in words is "one hundred three billion, three hundred ten million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1147889 2295778 3443667 4591556 5739445 6887334 9183112 10331001 11478890 13774668 17218335 18366224 20662002 22957780 27549336 28697225 34436670 41324004 45915560 51655005 55098672 57394450 68873340 82648008 86091675 91831120 103310010 114788900 137746680 143486125 165296016 172183350 206620020 229577800 258275025 275493360 286972250 344366700 413240040 430458375 459155600 516550050 573944500 688733400 717430625 826480080 860916750 1033100100 1147889000 1291375125 1377466800 1434861250 1721833500 2066200200 2152291875 2295778000 2582750250 2869722500 3443667000 4132400400 4304583750 5165500500 5739445000 6456875625 6887334000 8609167500 10331001000 11478890000 12913751250 17218335000 20662002000 25827502500 34436670000 51655005000 103310010000