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1128502536100 = 225241225912
BaseRepresentation
bin10000011010111111111…
…111100010011110100100
310222212212021121121210221
4100122333333202132210
5121442133122123400
62222232113454124
7144350226200302
oct20327777423644
93885767547727
101128502536100
113a5660297255
12162865271344
1382556b58554
143c896aad272
151e54cdd1c1a
hex106bffe27a4

1128502536100 has 81 divisors (see below), whose sum is σ = 2511004471843. Its totient is φ = 440221264000.

The previous prime is 1128502536071. The next prime is 1128502536103. The reversal of 1128502536100 is 16352058211.

The square root of 1128502536100 is 1062310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 475004910436 + 653497625664 = 689206^2 + 808392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1128502536103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 435545805 + ... + 435548395.

Almost surely, 21128502536100 is an apocalyptic number.

1128502536100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1128502536100 is the 1062310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128502536100

1128502536100 is an abundant number, since it is smaller than the sum of its proper divisors (1382501935743).

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

1128502536100 is an frugal number, since it uses more digits than its factorization.

1128502536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 1128502536100 in words is "one trillion, one hundred twenty-eight billion, five hundred two million, five hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1681 2050 2591 3362 4100 5182 6724 8405 10364 12955 16810 25910 33620 42025 51820 64775 84050 106231 129550 168100 212462 259100 424924 531155 1062310 2124620 2655775 4355471 5311550 6713281 8710942 10623100 13426562 17421884 21777355 26853124 33566405 43554710 67132810 87109420 108886775 134265620 167832025 217773550 275244521 335664050 435547100 550489042 671328100 1100978084 1376222605 2752445210 5504890420 6881113025 11285025361 13762226050 22570050722 27524452100 45140101444 56425126805 112850253610 225700507220 282125634025 564251268050 1128502536100