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31020100100 = 225211199141709
BaseRepresentation
bin11100111000111100…
…010010101000000100
32222001211210100122022
4130320330102220010
51002012121200400
622130032222312
72145464333423
oct347074225004
988054710568
1031020100100
1112179046370
12601869a998
132c0481c122
141703b092ba
15c1847ab85
hex738f12a04

31020100100 has 72 divisors (see below), whose sum is σ = 73802568000. Its totient is φ = 11223273600.

The previous prime is 31020100099. The next prime is 31020100103. The reversal of 31020100100 is 100102013.

It is a super-2 number, since 2×310201001002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31020100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148046 + ... + 289754.

Almost surely, 231020100100 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 31020100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36901284000).

31020100100 is an abundant number, since it is smaller than the sum of its proper divisors (42782467900).

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

31020100100 is a wasteful number, since it uses less digits than its factorization.

31020100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141933 (or 141926 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 31020100100 its reverse (100102013), we get a palindrome (31120202113).

The spelling of 31020100100 in words is "thirty-one billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 796 995 1100 1990 2189 3980 4378 4975 8756 9950 10945 19900 21890 43780 54725 109450 141709 218900 283418 566836 708545 1417090 1558799 2834180 3117598 3542725 6235196 7085450 7793995 14170900 15587990 28200091 31175980 38969975 56400182 77939950 112800364 141000455 155879900 282000910 310201001 564001820 620402002 705002275 1240804004 1410004550 1551005005 2820009100 3102010010 6204020020 7755025025 15510050050 31020100100