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23430211203432 = 23311131677487023
BaseRepresentation
bin1010101001111010001010…
…11010100111000101101000
310001221220110201000022010010
411110331011122213011220
511032340033032002212
6121455405044451520
74635530322124215
oct524750532470550
9101856421008103
1023430211203432
117513773444430
122764b223a9ba0
13100c5c84c48b7
145b005781cb0c
152a971841b03c
hex154f456a7168

23430211203432 has 64 divisors (see below), whose sum is σ = 64388366760960. Its totient is φ = 7045865028800.

The previous prime is 23430211203401. The next prime is 23430211203439.

It is a happy number.

23430211203432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23430211203432.

It is not an unprimeable number, because it can be changed into a prime (23430211203439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338708928 + ... + 338778095.

It is an arithmetic number, because the mean of its divisors is an integer number (1006068230640).

Almost surely, 223430211203432 is an apocalyptic number.

23430211203432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23430211203432 is an abundant number, since it is smaller than the sum of its proper divisors (40958155557528).

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

23430211203432 is a wasteful number, since it uses less digits than its factorization.

23430211203432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677487174 (or 677487170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2343021 and 1203432, that added together give a palindrome (3546453).

The spelling of 23430211203432 in words is "twenty-three trillion, four hundred thirty billion, two hundred eleven million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 677487023 1354974046 2032461069 2709948092 4064922138 5419896184 7452357253 8129844276 14904714506 16259688552 22357071759 29809429012 44714143518 59618858024 88750800013 89428287036 177501600026 178856574072 266252400039 355003200052 532504800078 710006400104 976258800143 1065009600156 1952517600286 2130019200312 2928776400429 3905035200572 5857552800858 7810070401144 11715105601716 23430211203432