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5312213100 = 22325210954151
BaseRepresentation
bin1001111001010000…
…11111000001101100
3111201012212101102100
410330220133001230
541334411304400
62235043055100
7245433031515
oct47450370154
914635771370
105312213100
112286673367
121043071490
1366874467c
14385733a0c
15211579100
hex13ca1f06c

5312213100 has 108 divisors (see below), whose sum is σ = 16803907120. Its totient is φ = 1403568000.

The previous prime is 5312213083. The next prime is 5312213119. The reversal of 5312213100 is 13122135.

5312213100 is a `hidden beast` number, since 531 + 2 + 2 + 131 + 0 + 0 = 666.

It is a super-2 number, since 2×53122131002 = 56439216039623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71025 + ... + 125175.

Almost surely, 25312213100 is an apocalyptic number.

5312213100 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 5312213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401953560).

5312213100 is an abundant number, since it is smaller than the sum of its proper divisors (11491694020).

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

5312213100 is a wasteful number, since it uses less digits than its factorization.

5312213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54280 (or 54270 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5312213100 is about 72884.9305412305. The cubic root of 5312213100 is about 1744.8516005305.

Adding to 5312213100 its reverse (13122135), we get a palindrome (5325335235).

The spelling of 5312213100 in words is "five billion, three hundred twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 54151 98100 108302 162453 216604 270755 324906 487359 541510 649812 812265 974718 1083020 1353775 1624530 1949436 2436795 2707550 3249060 4061325 4873590 5415100 5902459 8122650 9747180 11804918 12183975 16245300 17707377 23609836 24367950 29512295 35414754 48735900 53122131 59024590 70829508 88536885 106244262 118049180 147561475 177073770 212488524 265610655 295122950 354147540 442684425 531221310 590245900 885368850 1062442620 1328053275 1770737700 2656106550 5312213100