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2111202144 = 25341994093
BaseRepresentation
bin111110111010110…
…0110001101100000
312110010121011220000
41331311212031200
513310431432034
6545254220000
7103213631202
oct17565461540
95403534800
102111202144
1199379a467
124ab054600
1327851094c
14160564772
15c552b599
hex7dd66360

2111202144 has 120 divisors (see below), whose sum is σ = 6241712400. Its totient is φ = 700026624.

The previous prime is 2111202139. The next prime is 2111202151. The reversal of 2111202144 is 4412021112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 513762 + ... + 517854.

It is an arithmetic number, because the mean of its divisors is an integer number (52014270).

Almost surely, 22111202144 is an apocalyptic number.

2111202144 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 2111202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120856200).

2111202144 is an abundant number, since it is smaller than the sum of its proper divisors (4130510256).

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

2111202144 is a wasteful number, since it uses less digits than its factorization.

2111202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2111202144 is about 45947.8197959381. The cubic root of 2111202144 is about 1282.8521491172.

Adding to 2111202144 its reverse (4412021112), we get a palindrome (6523223256).

The spelling of 2111202144 in words is "two billion, one hundred eleven million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 288 324 398 432 597 648 796 864 1194 1296 1592 1791 2388 2592 3184 3582 4093 4776 5373 6368 7164 8186 9552 10746 12279 14328 16119 16372 19104 21492 24558 28656 32238 32744 36837 42984 49116 57312 64476 65488 73674 85968 98232 110511 128952 130976 147348 171936 196464 221022 257904 294696 331533 392928 442044 515808 589392 663066 814507 884088 1178784 1326132 1629014 1768176 2443521 2652264 3258028 3536352 4887042 5304528 6516056 7330563 9774084 10609056 13032112 14661126 19548168 21991689 26064224 29322252 39096336 43983378 58644504 65975067 78192672 87966756 117289008 131950134 175933512 234578016 263900268 351867024 527800536 703734048 1055601072 2111202144