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2141103996 = 223319254917
BaseRepresentation
bin111111110011110…
…1010011101111100
312112012212100112000
41333213222131330
513341110311441
6552243142300
7104026040463
oct17747523574
95465770460
102141103996
119a9663139
124b9074990
13281780055
141645099da
15c7e862b6
hex7f9ea77c

2141103996 has 72 divisors (see below), whose sum is σ = 5858652240. Its totient is φ = 676125792.

The previous prime is 2141103931. The next prime is 2141103997. The reversal of 2141103996 is 6993011412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2141103996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141103997) 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, 11530 + ... + 66446.

It is an arithmetic number, because the mean of its divisors is an integer number (81370170).

Almost surely, 22141103996 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 2141103996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929326120).

2141103996 is an abundant number, since it is smaller than the sum of its proper divisors (3717548244).

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

2141103996 is a wasteful number, since it uses less digits than its factorization.

2141103996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54968 (or 54941 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2141103996 is about 46272.0649636473. The cubic root of 2141103996 is about 1288.8803047728.

The spelling of 2141103996 in words is "two billion, one hundred forty-one million, one hundred three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1083 1444 2052 2166 3249 4332 6498 9747 12996 19494 38988 54917 109834 164751 219668 329502 494253 659004 988506 1043423 1482759 1977012 2086846 2965518 3130269 4173692 5931036 6260538 9390807 12521076 18781614 19825037 28172421 37563228 39650074 56344842 59475111 79300148 112689684 118950222 178425333 237900444 356850666 535275999 713701332 1070551998 2141103996