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2123455102461 = 3271126891113947
BaseRepresentation
bin11110111001100111110…
…010010111110111111101
321112000000020101212000100
4132321213302113313331
5234242314001234321
64303300220151313
7306262124363340
oct36714762276775
97460006355010
102123455102461
11749609057590
122a3658998539
131253194c8264
1474ac0a28457
153a381472326
hex1ee67c97dfd

2123455102461 has 48 divisors (see below), whose sum is σ = 3824233440768. Its totient is φ = 1103042858400.

The previous prime is 2123455102367. The next prime is 2123455102487. The reversal of 2123455102461 is 1642015543212.

2123455102461 is a `hidden beast` number, since 2 + 1 + 23 + 4 + 551 + 0 + 24 + 61 = 666.

It is not a de Polignac number, because 2123455102461 - 211 = 2123455100413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123455112461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578490 + ... + 18692436.

It is an arithmetic number, because the mean of its divisors is an integer number (79671530016).

Almost surely, 22123455102461 is an apocalyptic number.

2123455102461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2123455102461 is a deficient number, since it is larger than the sum of its proper divisors (1700778338307).

2123455102461 is a wasteful number, since it uses less digits than its factorization.

2123455102461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140862 (or 140859 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2123455102461 in words is "two trillion, one hundred twenty-three billion, four hundred fifty-five million, one hundred two thousand, four hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 26891 80673 113947 188237 242019 295801 341841 564711 797629 887403 1025523 1253417 1694133 2070607 2392887 2662209 3760251 6211821 7178661 8773919 11280753 18635463 26321757 78965271 3064148777 9192446331 21449041439 27577338993 33705636547 64347124317 101116909641 193041372951 235939455829 303350728923 707818367487 2123455102461