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100334231320 = 23529839103093
BaseRepresentation
bin101110101110001100…
…0101101111100011000
3100120222110120001102111
41131130120231330120
53120441030400240
6114032022442104
710151242615561
oct1353430557430
9316873501374
10100334231320
1139608070034
1217541893334
1395ccb3445b
144bdb5c5168
15292375b1ea
hex175c62df18

100334231320 has 64 divisors (see below), whose sum is σ = 233817192000. Its totient is φ = 38703211008.

The previous prime is 100334231311. The next prime is 100334231329. The reversal of 100334231320 is 23132433001.

It is an interprime number because it is at equal distance from previous prime (100334231311) and next prime (100334231329).

It is a junction number, because it is equal to n+sod(n) for n = 100334231291 and 100334231300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334231329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921694 + ... + 1024786.

It is an arithmetic number, because the mean of its divisors is an integer number (3653393625).

Almost surely, 2100334231320 is an apocalyptic number.

100334231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100334231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116908596000).

100334231320 is an abundant number, since it is smaller than the sum of its proper divisors (133482960680).

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

100334231320 is a wasteful number, since it uses less digits than its factorization.

100334231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103972 (or 103968 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100334231320 its reverse (23132433001), we get a palindrome (123466664321).

The spelling of 100334231320 in words is "one hundred billion, three hundred thirty-four million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 839 1160 1678 3356 4195 6712 8390 16780 24331 33560 48662 97324 103093 121655 194648 206186 243310 412372 486620 515465 824744 973240 1030930 2061860 2989697 4123720 5979394 11958788 14948485 23917576 29896970 59793940 86495027 119587880 172990054 345980108 432475135 691960216 864950270 1729900540 2508355783 3459801080 5016711566 10033423132 12541778915 20066846264 25083557830 50167115660 100334231320