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100442122440 = 23351176092517
BaseRepresentation
bin101110110001011010…
…0010010100011001000
3100121020222120111012220
41131202310102203020
53121201140404230
6114050435134040
710154022645132
oct1354264224310
9317228514186
10100442122440
1139662a61250
1217571a44320
1396192ab95a
144c0ba6c052
15292ce6dd10
hex1762d128c8

100442122440 has 64 divisors (see below), whose sum is σ = 328719677760. Its totient is φ = 24349605120.

The previous prime is 100442122421. The next prime is 100442122441. The reversal of 100442122440 is 44221244001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100442122440.

It is not an unprimeable number, because it can be changed into a prime (100442122441) 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, 38044939 + ... + 38047578.

It is an arithmetic number, because the mean of its divisors is an integer number (5136244965).

Almost surely, 2100442122440 is an apocalyptic number.

100442122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100442122440 is an abundant number, since it is smaller than the sum of its proper divisors (228277555320).

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

100442122440 is a wasteful number, since it uses less digits than its factorization.

100442122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76092542 (or 76092538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100442122440 its reverse (44221244001), we get a palindrome (144663366441).

The spelling of 100442122440 in words is "one hundred billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 76092517 152185034 228277551 304370068 380462585 456555102 608740136 760925170 837017687 913110204 1141387755 1521850340 1674035374 1826220408 2282775510 2511053061 3043700680 3348070748 4185088435 4565551020 5022106122 6696141496 8370176870 9131102040 10044212244 12555265305 16740353740 20088424488 25110530610 33480707480 50221061220 100442122440