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31301031000 = 2335310797511
BaseRepresentation
bin11101001001101011…
…111101010001011000
32222210102102010101110
4131021223331101120
51003101030443000
622213545420320
72155445242101
oct351153752130
988712363343
1031301031000
1112302685968
12609679a6a0
132c4aaa1425
14172d1573a8
15c32e6e850
hex749afd458

31301031000 has 128 divisors (see below), whose sum is σ = 98572930560. Its totient is φ = 8268848000.

The previous prime is 31301030911. The next prime is 31301031011. The reversal of 31301031000 is 13010313.

It is a super-2 number, since 2×313010310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 272245 + ... + 369755.

It is an arithmetic number, because the mean of its divisors is an integer number (770101020).

Almost surely, 231301031000 is an apocalyptic number.

31301031000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49286465280).

31301031000 is an abundant number, since it is smaller than the sum of its proper divisors (67271899560).

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

31301031000 is a wasteful number, since it uses less digits than its factorization.

31301031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97642 (or 97628 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31301031000 its reverse (13010313), we get a palindrome (31314041313).

The spelling of 31301031000 in words is "thirty-one billion, three hundred one million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 125 150 200 214 250 300 321 375 428 500 535 600 642 750 856 1000 1070 1284 1500 1605 2140 2568 2675 3000 3210 4280 5350 6420 8025 10700 12840 13375 16050 21400 26750 32100 40125 53500 64200 80250 97511 107000 160500 195022 292533 321000 390044 487555 585066 780088 975110 1170132 1462665 1950220 2340264 2437775 2925330 3900440 4875550 5850660 7313325 9751100 10433677 11701320 12188875 14626650 19502200 20867354 24377750 29253300 31301031 36566625 41734708 48755500 52168385 58506600 62602062 73133250 83469416 97511000 104336770 125204124 146266500 156505155 208673540 250408248 260841925 292533000 313010310 417347080 521683850 626020620 782525775 1043367700 1252041240 1304209625 1565051550 2086735400 2608419250 3130103100 3912628875 5216838500 6260206200 7825257750 10433677000 15650515500 31301031000