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20431123350 = 235211101122599
BaseRepresentation
bin10011000001110010…
…100011001110010110
31221201212202121022020
4103001302203032112
5313320331421400
613215205514010
71322205453201
oct230162431626
957655677266
1020431123350
118734922410
123b62412906
131c07ac5601
14dbb66c938
157e8a2b2a0
hex4c1ca3396

20431123350 has 96 divisors (see below), whose sum is σ = 55823212800. Its totient is φ = 4903920000.

The previous prime is 20431123343. The next prime is 20431123369. The reversal of 20431123350 is 5332113402.

It is a self number, because there is not a number n which added to its sum of digits gives 20431123350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105351 + ... + 227949.

It is an arithmetic number, because the mean of its divisors is an integer number (581491800).

Almost surely, 220431123350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431123350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27911606400).

20431123350 is an abundant number, since it is smaller than the sum of its proper divisors (35392089450).

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

20431123350 is a wasteful number, since it uses less digits than its factorization.

20431123350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122726 (or 122721 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20431123350 its reverse (5332113402), we get a palindrome (25763236752).

The spelling of 20431123350 in words is "twenty billion, four hundred thirty-one million, one hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 101 110 150 165 202 275 303 330 505 550 606 825 1010 1111 1515 1650 2222 2525 3030 3333 5050 5555 6666 7575 11110 15150 16665 27775 33330 55550 83325 122599 166650 245198 367797 612995 735594 1225990 1348589 1838985 2697178 3064975 3677970 4045767 6129950 6742945 8091534 9194925 12382499 13485890 18389850 20228835 24764998 33714725 37147497 40457670 61912495 67429450 74294994 101144175 123824990 136207489 185737485 202288350 272414978 309562475 371474970 408622467 619124950 681037445 817244934 928687425 1362074890 1857374850 2043112335 3405187225 4086224670 6810374450 10215561675 20431123350