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1103412032010 = 2325211281206779
BaseRepresentation
bin10000000011101000011…
…110110111001000001010
310220111002200101221201200
4100003220132313020022
5121034241440011020
62202522301125030
7142501402343511
oct20035036671012
93814080357650
101103412032010
11395a55365162
12159a22559776
1380088954822
143b5966c7678
151da802d3590
hex100e87b720a

1103412032010 has 96 divisors (see below), whose sum is σ = 2892739711680. Its totient is φ = 291805113600.

The previous prime is 1103412032003. The next prime is 1103412032131. The reversal of 1103412032010 is 102302143011.

1103412032010 is a `hidden beast` number, since 1 + 1 + 0 + 341 + 2 + 0 + 320 + 1 + 0 = 666.

It is a super-2 number, since 2×11034120320102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232801 + ... + 5439579.

It is an arithmetic number, because the mean of its divisors is an integer number (30132705330).

Almost surely, 21103412032010 is an apocalyptic number.

1103412032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103412032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446369855840).

1103412032010 is an abundant number, since it is smaller than the sum of its proper divisors (1789327679670).

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

1103412032010 is a wasteful number, since it uses less digits than its factorization.

1103412032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207284 (or 207281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1103412032010 its reverse (102302143011), we get a palindrome (1205714175021).

The spelling of 1103412032010 in words is "one trillion, one hundred three billion, four hundred twelve million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 281 422 562 633 843 1055 1266 1405 1686 1899 2110 2529 2810 3165 3798 4215 5058 6330 8430 9495 12645 18990 25290 59291 118582 177873 206779 296455 355746 413558 533619 592910 620337 889365 1033895 1067238 1240674 1778730 1861011 2067790 2668095 3101685 3722022 5336190 6203370 9305055 18610110 43630369 58104899 87260738 116209798 130891107 174314697 218151845 261782214 290524495 348629394 392673321 436303690 522944091 581048990 654455535 785346642 871573485 1045888182 1308911070 1743146970 1963366605 2614720455 3926733210 5229440910 12260133689 24520267378 36780401067 61300668445 73560802134 110341203201 122601336890 183902005335 220682406402 367804010670 551706016005 1103412032010