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2122106004 = 223263193419
BaseRepresentation
bin111111001111100…
…1100010010010100
312110220010011011200
41332133030102110
513321224343004
6550324032500
7103405413654
oct17637142224
95426104150
102122106004
11999967717
124b2832730
1327a85aa35
14161ba2364
15c6482239
hex7e7cc494

2122106004 has 36 divisors (see below), whose sum is σ = 5372771040. Its totient is φ = 706240080.

The previous prime is 2122105981. The next prime is 2122106009. The reversal of 2122106004 is 4006012212.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122106009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23994 + ... + 69425.

It is an arithmetic number, because the mean of its divisors is an integer number (149243640).

Almost surely, 22122106004 is an apocalyptic number.

It is an amenable number.

2122106004 is an abundant number, since it is smaller than the sum of its proper divisors (3250665036).

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

2122106004 is a wasteful number, since it uses less digits than its factorization.

2122106004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94060 (or 94055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2122106004 is about 46066.3217980338. The cubic root of 2122106004 is about 1285.0569004867.

Adding to 2122106004 its reverse (4006012212), we get a palindrome (6128118216).

The spelling of 2122106004 in words is "two billion, one hundred twenty-two million, one hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 631 1262 1893 2524 3786 5679 7572 11358 22716 93419 186838 280257 373676 560514 840771 1121028 1681542 3363084 58947389 117894778 176842167 235789556 353684334 530526501 707368668 1061053002 2122106004