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31111001424 = 2433103969313
BaseRepresentation
bin11100111110010111…
…000011010101010000
32222022011211121211000
4130332113003111100
51002203404021144
622143040422000
72150650102026
oct347627032520
988264747730
1031111001424
1112215392928
126043017900
132c1a5c83a9
141711c0c716
15c21434769
hex73e5c3550

31111001424 has 80 divisors (see below), whose sum is σ = 89387334400. Its totient is φ = 10360203264.

The previous prime is 31111001401. The next prime is 31111001429. The reversal of 31111001424 is 42410011113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31111001397 and 31111001406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31111001429) 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, 414192 + ... + 483504.

It is an arithmetic number, because the mean of its divisors is an integer number (1117341680).

Almost surely, 231111001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693667200).

31111001424 is an abundant number, since it is smaller than the sum of its proper divisors (58276332976).

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

31111001424 is a wasteful number, since it uses less digits than its factorization.

31111001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70369 (or 70357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31111001424 its reverse (42410011113), we get a palindrome (73521012537).

The spelling of 31111001424 in words is "thirty-one billion, one hundred eleven million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1039 2078 3117 4156 6234 8312 9351 12468 16624 18702 24936 28053 37404 49872 56106 69313 74808 112212 138626 149616 207939 224424 277252 415878 448848 554504 623817 831756 1109008 1247634 1663512 1871451 2495268 3327024 3742902 4990536 7485804 9981072 14971608 29943216 72016207 144032414 216048621 288064828 432097242 576129656 648145863 864194484 1152259312 1296291726 1728388968 1944437589 2592583452 3456777936 3888875178 5185166904 7777750356 10370333808 15555500712 31111001424