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100298235840 = 263511283101103
BaseRepresentation
bin101110101101000111…
…1011001111111000000
3100120212221211021220120
41131122033121333000
53120402322021330
6114024255140240
710150324636515
oct1353217317700
9316787737816
10100298235840
1139599815100
1217531814680
1395c554055a
144bd68d530c
1529204eac10
hex175a3d9fc0

100298235840 has 672 divisors, whose sum is σ = 361226331648. Its totient is φ = 23553024000.

The previous prime is 100298235811. The next prime is 100298235857. The reversal of 100298235840 is 48532892001.

It is a super-2 number, since 2×1002982358402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100298235792 and 100298235801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 973769229 + ... + 973769331.

It is an arithmetic number, because the mean of its divisors is an integer number (537539184).

Almost surely, 2100298235840 is an apocalyptic number.

100298235840 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 100298235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180613165824).

100298235840 is an abundant number, since it is smaller than the sum of its proper divisors (260928095808).

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

100298235840 is a wasteful number, since it uses less digits than its factorization.

100298235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 100298235840 in words is "one hundred billion, two hundred ninety-eight million, two hundred thirty-five thousand, eight hundred forty".