Search a number
-
+
31155010400 = 255242192503
BaseRepresentation
bin11101000000111110…
…111011101101100000
32222102020122111210002
4131000332323231200
51002301140313100
622151251555132
72152023135053
oct350076735540
988366574702
1031155010400
1112238211488
1260558bbaa8
132c267668c7
1417179c6a9a
15c252292d5
hex740fbbb60

31155010400 has 72 divisors (see below), whose sum is σ = 76238651664. Its totient is φ = 12432268800.

The previous prime is 31155010343. The next prime is 31155010421. The reversal of 31155010400 is 401055113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 290549 + ... + 383051.

It is an arithmetic number, because the mean of its divisors is an integer number (1058870162).

Almost surely, 231155010400 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 31155010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38119325832).

31155010400 is an abundant number, since it is smaller than the sum of its proper divisors (45083641264).

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

31155010400 is a wasteful number, since it uses less digits than its factorization.

31155010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92944 (or 92931 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 31155010400 its reverse (401055113), we get a palindrome (31556065513).

The spelling of 31155010400 in words is "thirty-one billion, one hundred fifty-five million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 421 800 842 1684 2105 3368 4210 6736 8420 10525 13472 16840 21050 33680 42100 67360 84200 92503 168400 185006 336800 370012 462515 740024 925030 1480048 1850060 2312575 2960096 3700120 4625150 7400240 9250300 14800480 18500600 37001200 38943763 74002400 77887526 155775052 194718815 311550104 389437630 623100208 778875260 973594075 1246200416 1557750520 1947188150 3115501040 3894376300 6231002080 7788752600 15577505200 31155010400