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2123221002144 = 253114346758743
BaseRepresentation
bin11110111001011001110…
…101010110011110100000
321111222101220220022202020
4132321121311112132200
5234241324034032034
64303221054421440
7306253252512204
oct36713165263640
97458356808666
102123221002144
117494a89a3550
122a35b2501880
131252acb61868
1474a9b8cab04
153a36ab2e249
hex1ee59d567a0

2123221002144 has 96 divisors (see below), whose sum is σ = 6221531441664. Its totient is φ = 628437492480.

The previous prime is 2123221002109. The next prime is 2123221002151. The reversal of 2123221002144 is 4412001223212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23333964 + ... + 23424779.

It is an arithmetic number, because the mean of its divisors is an integer number (64807619184).

Almost surely, 22123221002144 is an apocalyptic number.

2123221002144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123221002144 is an abundant number, since it is smaller than the sum of its proper divisors (4098310439520).

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

2123221002144 is a wasteful number, since it uses less digits than its factorization.

2123221002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46758810 (or 46758802 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2123221002144 its reverse (4412001223212), we get a palindrome (6535222225356).

The spelling of 2123221002144 in words is "two trillion, one hundred twenty-three billion, two hundred twenty-one million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 45408 46758743 93517486 140276229 187034972 280552458 374069944 514346173 561104916 748139888 1028692346 1122209832 1496279776 1543038519 2010625949 2057384692 2244419664 3086077038 4021251898 4114769384 4488839328 6031877847 6172154076 8042503796 8229538768 12063755694 12344308152 16085007592 16459077536 22116885439 24127511388 24688616304 32170015184 44233770878 48255022776 49377232608 64340030368 66350656317 88467541756 96510045552 132701312634 176935083512 193020091104 265402625268 353870167024 530805250536 707740334048 1061610501072 2123221002144