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31021020100 = 2252767677977
BaseRepresentation
bin11100111000111111…
…110011001111000100
32222001220112002122101
4130320333303033010
51002012340120400
622130104041444
72145505214560
oct347077631704
988056462571
1031021020100
11121796145a4
126018a63284
132c04a81ac5
141703ca86a0
15c185ad56a
hex738ff33c4

31021020100 has 144 divisors (see below), whose sum is σ = 78275740032. Its totient is φ = 10450851840.

The previous prime is 31021020083. The next prime is 31021020101. The reversal of 31021020100 is 102012013.

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 (31021020101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31750812 + ... + 31751788.

It is an arithmetic number, because the mean of its divisors is an integer number (543581528).

Almost surely, 231021020100 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 31021020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39137870016).

31021020100 is an abundant number, since it is smaller than the sum of its proper divisors (47254719932).

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

31021020100 is a wasteful number, since it uses less digits than its factorization.

31021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1735 counting only the distinct ones).

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

Adding to 31021020100 its reverse (102012013), we get a palindrome (31123032113).

The spelling of 31021020100 in words is "thirty-one billion, twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 677 700 938 977 1340 1354 1675 1876 1954 2345 2708 3350 3385 3908 4690 4739 4885 6700 6770 6839 9380 9478 9770 11725 13540 13678 16925 18956 19540 23450 23695 24425 27356 33850 34195 45359 46900 47390 48850 65459 67700 68390 90718 94780 97700 118475 130918 136780 170975 181436 226795 236950 261836 317513 327295 341950 453590 458213 473900 635026 654590 661429 683900 907180 916426 1133975 1270052 1309180 1322858 1587565 1636475 1832852 2267950 2291065 2645716 3175130 3272950 3307145 4535900 4582130 4630003 6350260 6545900 6614290 7937825 9164260 9260006 11455325 13228580 15875650 16535725 18520012 22910650 23150015 31751300 33071450 44315743 45821300 46300030 66142900 88631486 92600060 115750075 177262972 221578715 231500150 310210201 443157430 463000300 620420402 886314860 1107893575 1240840804 1551051005 2215787150 3102102010 4431574300 6204204020 7755255025 15510510050 31021020100