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211161005020 = 225761101244813
BaseRepresentation
bin1100010010101000101…
…1010011101111011100
3202012001011200111002201
43010222023103233130
511424424204130040
6241001145101244
721153523633150
oct3045213235734
9665034614081
10211161005020
1181609978499
1234b11487824
1316bb26c9864
14a312503060
15575d218a9a
hex312a2d3bdc

211161005020 has 96 divisors (see below), whose sum is σ = 520196455296. Its totient is φ = 70505856000.

The previous prime is 211161004981. The next prime is 211161005023. The reversal of 211161005020 is 20500161112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211161005023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740134 + ... + 984946.

It is an arithmetic number, because the mean of its divisors is an integer number (5418713076).

Almost surely, 2211161005020 is an apocalyptic number.

211161005020 is a gapful number since it is divisible by the number (20) 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 211161005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260098227648).

211161005020 is an abundant number, since it is smaller than the sum of its proper divisors (309035450276).

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

211161005020 is a wasteful number, since it uses less digits than its factorization.

211161005020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244991 (or 244989 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 211161005020 its reverse (20500161112), we get a palindrome (231661166132).

The spelling of 211161005020 in words is "two hundred eleven billion, one hundred sixty-one million, five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 101 122 140 202 244 305 404 427 505 610 707 854 1010 1220 1414 1708 2020 2135 2828 3535 4270 6161 7070 8540 12322 14140 24644 30805 43127 61610 86254 123220 172508 215635 244813 431270 489626 862540 979252 1224065 1713691 2448130 3427382 4896260 6854764 8568455 14933593 17136910 24726113 29867186 34273820 49452226 59734372 74667965 98904452 104535151 123630565 149335930 173082791 209070302 247261130 298671860 346165582 418140604 494522260 522675755 692331164 865413955 1045351510 1508292893 1730827910 2090703020 3016585786 3461655820 6033171572 7541464465 10558050251 15082928930 21116100502 30165857860 42232201004 52790251255 105580502510 211161005020