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103112100384 = 2535371285433
BaseRepresentation
bin110000000000111110…
…1011100101000100000
3100212011001121102101220
41200001331130220200
53142133144203014
6115211414055040
710310133251316
oct1400175345040
9325131542356
10103112100384
113a803102197
1217b9804a480
1399534b3367
144dc24c80b6
152a375736a9
hex1801f5ca20

103112100384 has 96 divisors (see below), whose sum is σ = 279661382784. Its totient is φ = 33247119360.

The previous prime is 103112100383. The next prime is 103112100451. The reversal of 103112100384 is 483001211301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (103112100383) 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, 218532 + ... + 503964.

It is an arithmetic number, because the mean of its divisors is an integer number (2913139404).

Almost surely, 2103112100384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112100384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139830691392).

103112100384 is an abundant number, since it is smaller than the sum of its proper divisors (176549282400).

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

103112100384 is a wasteful number, since it uses less digits than its factorization.

103112100384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285570 (or 285562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 103112100384 its reverse (483001211301), we get a palindrome (586113311685).

The spelling of 103112100384 in words is "one hundred three billion, one hundred twelve million, one hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 71 96 106 142 159 212 213 284 318 424 426 568 636 848 852 1136 1272 1696 1704 2272 2544 3408 3763 5088 6816 7526 11289 15052 22578 30104 45156 60208 90312 120416 180624 285433 361248 570866 856299 1141732 1712598 2283464 3425196 4566928 6850392 9133856 13700784 15127949 20265743 27401568 30255898 40531486 45383847 60511796 60797229 81062972 90767694 121023592 121594458 162125944 181535388 242047184 243188916 324251888 363070776 484094368 486377832 648503776 726141552 972755664 1074084379 1452283104 1945511328 2148168758 3222253137 4296337516 6444506274 8592675032 12889012548 17185350064 25778025096 34370700128 51556050192 103112100384