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31021210000 = 245411282011
BaseRepresentation
bin11100111001000000…
…100001100110010000
32222001220212202010201
4130321000201212100
51002012412210000
622130112104544
72145506635324
oct347100414620
988056782121
1031021210000
1112179734240
126018b35154
132c04b1a381
141703d17984
15c185e996a
hex739021990

31021210000 has 100 divisors (see below), whose sum is σ = 81933510384. Its totient is φ = 11280400000.

The previous prime is 31021209979. The next prime is 31021210007. The reversal of 31021210000 is 1212013.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31021210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31006 + ... + 251005.

Almost surely, 231021210000 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 31021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40966755192).

31021210000 is an abundant number, since it is smaller than the sum of its proper divisors (50912300384).

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

31021210000 is a wasteful number, since it uses less digits than its factorization.

31021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282050 (or 282029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31021210000 its reverse (1212013), we get a palindrome (31022422013).

The spelling of 31021210000 in words is "thirty-one billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 282011 564022 1128044 1410055 2256088 2820110 3102121 4512176 5640220 6204242 7050275 11280440 12408484 14100550 15510605 22560880 24816968 28201100 31021210 35251375 49633936 56402200 62042420 70502750 77553025 112804400 124084840 141005500 155106050 176256875 248169680 282011000 310212100 352513750 387765125 564022000 620424200 705027500 775530250 1240848400 1410055000 1551060500 1938825625 2820110000 3102121000 3877651250 6204242000 7755302500 15510605000 31021210000