Search a number
-
+
1012003103100 = 22352111718039271
BaseRepresentation
bin11101011101000000001…
…01011110000101111100
310120202011020101020111010
432232200011132011330
5113040040243244400
62052524030355220
7133054244305503
oct16564005360574
93522136336433
101012003103100
11360208406a10
1214417195bb10
137457bc78902
1436da463183a
151b4d03eb450
hexeba015e17c

1012003103100 has 144 divisors (see below), whose sum is σ = 3382147028736. Its totient is φ = 230902656000.

The previous prime is 1012003103081. The next prime is 1012003103101. The reversal of 1012003103100 is 13013002101.

1012003103100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10120031031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012003103101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8963536 + ... + 9075735.

It is an arithmetic number, because the mean of its divisors is an integer number (23487132144).

Almost surely, 21012003103100 is an apocalyptic number.

1012003103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012003103100 is an abundant number, since it is smaller than the sum of its proper divisors (2370143925636).

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

1012003103100 is a wasteful number, since it uses less digits than its factorization.

1012003103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18039316 (or 18039309 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1012003103100 its reverse (13013002101), we get a palindrome (1025016105201).

The spelling of 1012003103100 in words is "one trillion, twelve billion, three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 18039271 36078542 54117813 72157084 90196355 108235626 180392710 198431981 216471252 270589065 306667607 360785420 396863962 450981775 541178130 595295943 613335214 793727924 901963550 920002821 992159905 1082356260 1190591886 1226670428 1352945325 1533338035 1803927100 1840005642 1984319810 2381183772 2705890650 2976479715 3066676070 3373343677 3680011284 3968639620 4600014105 4960799525 5411781300 5952959430 6133352140 6746687354 7666690175 9200028210 9921599050 10120031031 11905918860 13493374708 14882398575 15333380350 16866718385 18400056420 19843198100 20240062062 23000070525 29764797150 30666760700 33733436770 40480124124 46000141050 50600155155 59529594300 67466873540 84333591925 92000282100 101200310310 168667183850 202400620620 253000775775 337334367700 506001551550 1012003103100