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212031020032 = 21013108714653
BaseRepresentation
bin1100010101111000001…
…0001001110000000000
3202021021210202211022221
43011132002021300000
511433214420120112
6241223344340424
721214216635106
oct3053602116000
9667253684287
10212031020032
1181a15a8a667
1235114914714
1316cc0a25040
14a395c95c76
1557ae7c0e07
hex315e089c00

212031020032 has 88 divisors (see below), whose sum is σ = 456910313216. Its totient is φ = 97763770368.

The previous prime is 212031020017. The next prime is 212031020059. The reversal of 212031020032 is 230020130212.

It is a super-3 number, since 3×2120310200323 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212031019988 and 212031020015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14462818 + ... + 14477470.

Almost surely, 2212031020032 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 212031020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228455156608).

212031020032 is an abundant number, since it is smaller than the sum of its proper divisors (244879293184).

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

212031020032 is a wasteful number, since it uses less digits than its factorization.

212031020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212031020032 its reverse (230020130212), we get a palindrome (442051150244).

The spelling of 212031020032 in words is "two hundred twelve billion, thirty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1087 1664 2174 3328 4348 6656 8696 13312 14131 14653 17392 28262 29306 34784 56524 58612 69568 113048 117224 139136 190489 226096 234448 278272 380978 452192 468896 556544 761956 904384 937792 1113088 1523912 1808768 1875584 3047824 3617536 3751168 6095648 7235072 7502336 12191296 14470144 15004672 15927811 24382592 31855622 48765184 63711244 97530368 127422488 195060736 207061543 254844976 414123086 509689952 828246172 1019379904 1656492344 2038759808 3312984688 4077519616 6625969376 8155039232 13251938752 16310078464 26503877504 53007755008 106015510016 212031020032