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5101101012 = 2237675471657
BaseRepresentation
bin1001100000000110…
…01001111111010100
3111011111121210002010
410300003021333110
540421340213022
62202102144220
7240260433420
oct46003117724
914144553063
105101101012
112188490767
12ba4422070
13633a99587
1436569bb80
151ecc7750c
hex1300c9fd4

5101101012 has 96 divisors (see below), whose sum is σ = 13839551488. Its totient is φ = 1432214784.

The previous prime is 5101100989. The next prime is 5101101013. The reversal of 5101101012 is 2101011015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101101013) 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, 3077688 + ... + 3079344.

Almost surely, 25101101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919775744).

5101101012 is an abundant number, since it is smaller than the sum of its proper divisors (8738450476).

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

5101101012 is a wasteful number, since it uses less digits than its factorization.

5101101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 5101101012 is about 71421.9924953092. The cubic root of 5101101012 is about 1721.4244793064.

Adding to 5101101012 its reverse (2101011015), we get a palindrome (7202112027).

The spelling of 5101101012 in words is "five billion, one hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 547 804 938 1094 1407 1641 1657 1876 2188 2814 3282 3314 3829 4971 5628 6564 6628 7658 9942 11487 11599 15316 19884 22974 23198 34797 36649 45948 46396 69594 73298 109947 111019 139188 146596 219894 222038 256543 333057 439788 444076 513086 666114 769629 777133 906379 1026172 1332228 1539258 1554266 1812758 2331399 2719137 3078516 3108532 3625516 4662798 5438274 6344653 9325596 10876548 12689306 19033959 25378612 38067918 60727393 76135836 121454786 182182179 242909572 364364358 425091751 728728716 850183502 1275275253 1700367004 2550550506 5101101012