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2124312204024 = 233237221551743
BaseRepresentation
bin11110111010011010110…
…111111101001011111000
321112002012222012010022200
4132322122313331023320
5234301042411012044
64303521234550200
7306322302542613
oct36723267751370
97462188163280
102124312204024
11749a0894968a
122a3857a38360
13125424c51a4a
1474b627b917a
153a3d1828369
hex1ee9adfd2f8

2124312204024 has 72 divisors (see below), whose sum is σ = 5913044242560. Its totient is φ = 688966088256.

The previous prime is 2124312204011. The next prime is 2124312204031. The reversal of 2124312204024 is 4204022134212.

It is a happy number.

2124312204024 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 31 + 220 + 402 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10677304 + ... + 10874439.

It is an arithmetic number, because the mean of its divisors is an integer number (82125614480).

Almost surely, 22124312204024 is an apocalyptic number.

2124312204024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124312204024 is an abundant number, since it is smaller than the sum of its proper divisors (3788732038536).

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

2124312204024 is a wasteful number, since it uses less digits than its factorization.

2124312204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551829 (or 21551785 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2124312204024 its reverse (4204022134212), we get a palindrome (6328334338236).

The spelling of 2124312204024 in words is "two trillion, one hundred twenty-four billion, three hundred twelve million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1369 2664 2738 4107 5476 8214 10952 12321 16428 24642 32856 49284 98568 21551743 43103486 64655229 86206972 129310458 172413944 193965687 258620916 387931374 517241832 775862748 797414491 1551725496 1594828982 2392243473 3189657964 4784486946 6379315928 7176730419 9568973892 14353460838 19137947784 28706921676 29504336167 57413843352 59008672334 88513008501 118017344668 177026017002 236034689336 265539025503 354052034004 531078051006 708104068008 1062156102012 2124312204024