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31132312000 = 265329134191
BaseRepresentation
bin11100111111101000…
…010110000111000000
32222100122221022102121
4130333220112013000
51002224332441000
622145121254024
72151326200006
oct347750260700
988318838377
1031132312000
1112226418879
12604a194314
132c21b4a1ba
141714998a76
15c23243b1a
hex73fa161c0

31132312000 has 112 divisors (see below), whose sum is σ = 79758357120. Its totient is φ = 12023424000.

The previous prime is 31132311953. The next prime is 31132312033. The reversal of 31132312000 is 21323113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164905 + ... + 299095.

Almost surely, 231132312000 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 31132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39879178560).

31132312000 is an abundant number, since it is smaller than the sum of its proper divisors (48626045120).

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

31132312000 is a wasteful number, since it uses less digits than its factorization.

31132312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134247 (or 134227 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31132312000 its reverse (21323113), we get a palindrome (31153635113).

It can be divided in two parts, 311323 and 12000, that added together give a palindrome (323323).

The spelling of 31132312000 in words is "thirty-one billion, one hundred thirty-two million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3625 4000 4640 5800 7250 8000 9280 11600 14500 23200 29000 46400 58000 116000 134191 232000 268382 536764 670955 1073528 1341910 2147056 2683820 3354775 3891539 4294112 5367640 6709550 7783078 8588224 10735280 13419100 15566156 16773875 19457695 21470560 26838200 31132312 33547750 38915390 42941120 53676400 62264624 67095500 77830780 97288475 107352800 124529248 134191000 155661560 194576950 214705600 249058496 268382000 311323120 389153900 486442375 536764000 622646240 778307800 972884750 1073528000 1245292480 1556615600 1945769500 3113231200 3891539000 6226462400 7783078000 15566156000 31132312000