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145121554100 = 22524135395501
BaseRepresentation
bin1000011100100111101…
…0110010111010110100
3111212120202210210012002
42013021322302322310
54334202104212400
6150400134314432
713325150566625
oct2071172627264
9455522723162
10145121554100
1156600374586
1224160ab8a18
13108b996cc93
1470498d1a4c
153b95688ed5
hex21c9eb2eb4

145121554100 has 36 divisors (see below), whose sum is σ = 322594605228. Its totient is φ = 56632800000.

The previous prime is 145121554099. The next prime is 145121554103. The reversal of 145121554100 is 1455121541.

It can be written as a sum of positive squares in 6 ways, for example, as 268238884 + 144853315216 = 16378^2 + 380596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145121554103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17693651 + ... + 17701850.

Almost surely, 2145121554100 is an apocalyptic number.

145121554100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145121554100 is an abundant number, since it is smaller than the sum of its proper divisors (177473051128).

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

145121554100 is a wasteful number, since it uses less digits than its factorization.

145121554100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35395556 (or 35395549 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

Adding to 145121554100 its reverse (1455121541), we get a palindrome (146576675641).

The spelling of 145121554100 in words is "one hundred forty-five billion, one hundred twenty-one million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 35395501 70791002 141582004 176977505 353955010 707910020 884887525 1451215541 1769775050 2902431082 3539550100 5804862164 7256077705 14512155410 29024310820 36280388525 72560777050 145121554100