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53511000100 = 22522994119609
BaseRepresentation
bin110001110101100000…
…010001000000100100
312010010021101110022121
4301311200101000210
51334042304000400
640325502235324
73603023665435
oct616540210044
9163107343277
1053511000100
112076a623428
12a454885b44
13507a28b18c
142838b5348c
1515d2c2621a
hexc75811024

53511000100 has 72 divisors (see below), whose sum is σ = 120256756200. Its totient is φ = 20643302400.

The previous prime is 53511000091. The next prime is 53511000107. The reversal of 53511000100 is 100011535.

It can be written as a sum of positive squares in 12 ways, for example, as 436977216 + 53074022884 = 20904^2 + 230378^2 .

It is not an unprimeable number, because it can be changed into a prime (53511000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719096 + ... + 2738704.

It is an arithmetic number, because the mean of its divisors is an integer number (1670232725).

Almost surely, 253511000100 is an apocalyptic number.

53511000100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53511000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60128378100).

53511000100 is an abundant number, since it is smaller than the sum of its proper divisors (66745756100).

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

53511000100 is a wasteful number, since it uses less digits than its factorization.

53511000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20593 (or 20586 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

Adding to 53511000100 its reverse (100011535), we get a palindrome (53611011635).

The spelling of 53511000100 in words is "fifty-three billion, five hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 941 1450 1882 2900 3764 4705 9410 18820 19609 23525 27289 39218 47050 54578 78436 94100 98045 109156 136445 196090 272890 392180 490225 545780 568661 682225 980450 1137322 1364450 1960900 2274644 2728900 2843305 5686610 11373220 14216525 18452069 28433050 36904138 56866100 73808276 92260345 184520690 369041380 461301725 535110001 922603450 1070220002 1845206900 2140440004 2675550005 5351100010 10702200020 13377750025 26755500050 53511000100