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20131244442 = 234314197771
BaseRepresentation
bin10010101111111010…
…100110100110011010
31220221222111011210000
4102233322212212122
5312212044310232
613125334233430
71311604516521
oct225772464632
956858434700
1020131244442
1185a0620a01
123a99ab5876
131b8a93a97a
14d8d8cb4b8
157cc54327c
hex4afea699a

20131244442 has 80 divisors (see below), whose sum is σ = 47700221184. Its totient is φ = 6335496000.

The previous prime is 20131244437. The next prime is 20131244449. The reversal of 20131244442 is 24444213102.

20131244442 is a `hidden beast` number, since 201 + 3 + 12 + 4 + 4 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20131244449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157017 + ... + 254787.

Almost surely, 220131244442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131244442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23850110592).

20131244442 is an abundant number, since it is smaller than the sum of its proper divisors (27568976742).

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

20131244442 is a wasteful number, since it uses less digits than its factorization.

20131244442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97857 (or 97848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20131244442 its reverse (24444213102), we get a palindrome (44575457544).

The spelling of 20131244442 in words is "twenty billion, one hundred thirty-one million, two hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 81 82 93 123 162 186 246 279 369 558 738 837 1107 1271 1674 2214 2511 2542 3321 3813 5022 6642 7626 11439 22878 34317 68634 97771 102951 195542 205902 293313 586626 879939 1759878 2639817 3030901 4008611 5279634 6061802 7919451 8017222 9092703 12025833 15838902 18185406 24051666 27278109 36077499 54556218 72154998 81834327 108232497 124266941 163668654 216464994 245502981 248533882 324697491 372800823 491005962 649394982 745601646 1118402469 2236804938 3355207407 6710414814 10065622221 20131244442