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100055011056 = 2437111323372447
BaseRepresentation
bin101110100101110111…
…1100100111011110000
3100120021000011012020020
41131023233210323300
53114403040323211
6113544210043440
710141312363410
oct1351357447360
9316230135206
10100055011056
1139484499790
1217484279580
139587030970
144bb24a0640
152908ea4306
hex174bbe4ef0

100055011056 has 640 divisors, whose sum is σ = 372072185856. Its totient is φ = 22316912640.

The previous prime is 100055011051. The next prime is 100055011057. The reversal of 100055011056 is 650110550001.

It is a super-2 number, since 2×1000550110562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100055011051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40887625 + ... + 40890071.

Almost surely, 2100055011056 is an apocalyptic number.

100055011056 is a gapful number since it is divisible by the number (16) 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 100055011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186036092928).

100055011056 is an abundant number, since it is smaller than the sum of its proper divisors (272017174800).

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

100055011056 is a wasteful number, since it uses less digits than its factorization.

100055011056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 100055011056 its reverse (650110550001), we get a palindrome (750165561057).

The spelling of 100055011056 in words is "one hundred billion, fifty-five million, eleven thousand, fifty-six".