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145525322100 = 223524111831327
BaseRepresentation
bin1000011110000111111…
…1000011000101110100
3111220121220120022202110
42013201333003011310
54341013440301400
6150504200411020
713341152554044
oct2074177030564
9456556508673
10145525322100
1156798283444
1224254176a70
1310952500662
147087397724
153bbad43e50
hex21e1fc3174

145525322100 has 72 divisors (see below), whose sum is σ = 431322893568. Its totient is φ = 37860243200.

The previous prime is 145525322069. The next prime is 145525322147. The reversal of 145525322100 is 1223525541.

145525322100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5903364 + ... + 5927963.

It is an arithmetic number, because the mean of its divisors is an integer number (5990595744).

Almost surely, 2145525322100 is an apocalyptic number.

145525322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145525322100 is an abundant number, since it is smaller than the sum of its proper divisors (285797571468).

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

145525322100 is a wasteful number, since it uses less digits than its factorization.

145525322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11831385 (or 11831378 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 145525322100 its reverse (1223525541), we get a palindrome (146748847641).

The spelling of 145525322100 in words is "one hundred forty-five billion, five hundred twenty-five million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 11831327 23662654 35493981 47325308 59156635 70987962 118313270 141975924 177469905 236626540 295783175 354939810 485084407 591566350 709879620 887349525 970168814 1183132700 1455253221 1774699050 1940337628 2425422035 2910506442 3549398100 4850844070 5821012884 7276266105 9701688140 12127110175 14552532210 24254220350 29105064420 36381330525 48508440700 72762661050 145525322100