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2123434100420 = 2251741152326693
BaseRepresentation
bin11110111001100110100…
…010010000011011000100
321111222221202212211121222
4132321212202100123010
5234242243112203140
64303254150055512
7306261451022033
oct36714642203304
97458852784558
102123434100420
117495a8212426
122a365194a598
13125315053a09
1474abbd1c71a
153a37e6c45b5
hex1ee668906c4

2123434100420 has 48 divisors (see below), whose sum is σ = 4836677187888. Its totient is φ = 779912663040.

The previous prime is 2123434100419. The next prime is 2123434100423. The reversal of 2123434100420 is 240014343212.

It can be written as a sum of positive squares in 8 ways, for example, as 170550828484 + 1952883271936 = 412978^2 + 1397456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2123434100420.

It is not an unprimeable number, because it can be changed into a prime (2123434100423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76149407 + ... + 76177286.

It is an arithmetic number, because the mean of its divisors is an integer number (100764108081).

Almost surely, 22123434100420 is an apocalyptic number.

2123434100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123434100420 is an abundant number, since it is smaller than the sum of its proper divisors (2713243087468).

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

2123434100420 is a wasteful number, since it uses less digits than its factorization.

2123434100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152326760 (or 152326758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2123434100420 its reverse (240014343212), we get a palindrome (2363448443632).

The spelling of 2123434100420 in words is "two trillion, one hundred twenty-three billion, four hundred thirty-four million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 152326693 304653386 609306772 761633465 1523266930 2589553781 3046533860 5179107562 6245394413 10358215124 12490788826 12947768905 24981577652 25895537810 31226972065 51791075620 62453944130 106171705021 124907888260 212343410042 424686820084 530858525105 1061717050210 2123434100420