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20115213144 = 23313175964279
BaseRepresentation
bin10010101110111101…
…011100101101011000
31220220212022200222020
4102232331130231120
5312143443310034
613124002454440
71311321330165
oct225675345530
956825280866
1020115213144
1185925713a4
123a94664420
131b87516ab0
14d8b71706c
157cae28249
hex4aef5cb58

20115213144 has 128 divisors (see below), whose sum is σ = 58314816000. Its totient is φ = 5726398464.

The previous prime is 20115213143. The next prime is 20115213191. The reversal of 20115213144 is 44131251102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20115213143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280797 + ... + 345075.

It is an arithmetic number, because the mean of its divisors is an integer number (455584500).

Almost surely, 220115213144 is an apocalyptic number.

20115213144 is a gapful number since it is divisible by the number (24) 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 20115213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29157408000).

20115213144 is an abundant number, since it is smaller than the sum of its proper divisors (38199602856).

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

20115213144 is a wasteful number, since it uses less digits than its factorization.

20115213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64377 (or 64373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 20115213144 its reverse (44131251102), we get a palindrome (64246464246).

The spelling of 20115213144 in words is "twenty billion, one hundred fifteen million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 59 68 78 102 104 118 136 156 177 204 221 236 312 354 408 442 472 663 708 767 884 1003 1326 1416 1534 1768 2006 2301 2652 3009 3068 4012 4602 5304 6018 6136 8024 9204 12036 13039 18408 24072 26078 39117 52156 64279 78234 104312 128558 156468 192837 257116 312936 385674 514232 771348 835627 1092743 1542696 1671254 2185486 2506881 3278229 3342508 3792461 4370972 5013762 6556458 6685016 7584922 8741944 10027524 11377383 13112916 14205659 15169844 20055048 22754766 26225832 28411318 30339688 42616977 45509532 49301993 56822636 64471837 85233954 91019064 98603986 113645272 128943674 147905979 170467908 193415511 197207972 257887348 295811958 340935816 386831022 394415944 515774696 591623916 773662044 838133881 1183247832 1547324088 1676267762 2514401643 3352535524 5028803286 6705071048 10057606572 20115213144