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100034311040 = 275556328097
BaseRepresentation
bin101110100101010000…
…0100111001110000000
3100120012120012112010222
41131022200213032000
53114332240423130
6113542150242212
710140641420456
oct1351240471600
9316176175128
10100034311040
1139473840534
1217479356368
139582963a31
144bad8329d6
152907265ce5
hex174a827380

100034311040 has 64 divisors (see below), whose sum is σ = 239196026160. Its totient is φ = 40005107712.

The previous prime is 100034310989. The next prime is 100034311051. The reversal of 100034311040 is 40113430001.

100034311040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3546272 + ... + 3574368.

Almost surely, 2100034311040 is an apocalyptic number.

100034311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034311040 is an abundant number, since it is smaller than the sum of its proper divisors (139161715120).

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

100034311040 is an equidigital number, since it uses as much as digits as its factorization.

100034311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33679 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100034311040 its reverse (40113430001), we get a palindrome (140147741041).

The spelling of 100034311040 in words is "one hundred billion, thirty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5563 11126 22252 27815 28097 44504 55630 56194 89008 111260 112388 140485 178016 222520 224776 280970 356032 445040 449552 561940 712064 890080 899104 1123880 1780160 1798208 2247760 3560320 3596416 4495520 8991040 17982080 156303611 312607222 625214444 781518055 1250428888 1563036110 2500857776 3126072220 5001715552 6252144440 10003431104 12504288880 20006862208 25008577760 50017155520 100034311040