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103012021024 = 25112910979199
BaseRepresentation
bin101111111101111111…
…1101011001100100000
3100211220002021212022221
41133323333223030200
53141432034133044
6115153441040424
710304506505623
oct1377377531440
9324802255287
10103012021024
113a761667080
1217b6a626114
1399388426c3
144db30b5dba
152a2d8a5484
hex17fbfeb320

103012021024 has 96 divisors (see below), whose sum is σ = 229104288000. Its totient is φ = 45162915840.

The previous prime is 103012021001. The next prime is 103012021087. The reversal of 103012021024 is 420120210301.

It is a super-2 number, since 2×1030120210242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103012020989 and 103012021007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11193577 + ... + 11202775.

It is an arithmetic number, because the mean of its divisors is an integer number (2386503000).

Almost surely, 2103012021024 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 103012021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114552144000).

103012021024 is an abundant number, since it is smaller than the sum of its proper divisors (126092266976).

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

103012021024 is a wasteful number, since it uses less digits than its factorization.

103012021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103012021024 its reverse (420120210301), we get a palindrome (523132231325).

The spelling of 103012021024 in words is "one hundred three billion, twelve million, twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1097 1276 2194 2552 4388 5104 8776 9199 10208 12067 17552 18398 24134 31813 35104 36796 48268 63626 73592 96536 101189 127252 147184 193072 202378 254504 266771 294368 349943 386144 404756 509008 533542 699886 809512 1018016 1067084 1399772 1619024 2134168 2799544 2934481 3238048 4268336 5599088 5868962 8536672 10091303 11198176 11737924 20182606 23475848 40365212 46951696 80730424 93903392 111004333 161460848 222008666 292647787 322921696 444017332 585295574 888034664 1170591148 1776069328 2341182296 3219125657 3552138656 4682364592 6438251314 9364729184 12876502628 25753005256 51506010512 103012021024