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212111101321000 = 2353731977470513
BaseRepresentation
bin110000001110100111110110…
…110110001101111100101000
31000211000121211100110001010121
4300032213312312031330220
5210300212013414233000
62031042254510253024
762451343553065060
oct6016476666157450
91024017740401117
10212111101321000
11616488a3a75002
121b9586767b7174
139147cb639c69b
143a54336b8a3a0
15197c76aaeeb1a
hexc0e9f6d8df28

212111101321000 has 128 divisors (see below), whose sum is σ = 585543936706560. Its totient is φ = 70377876864000.

The previous prime is 212111101320977. The next prime is 212111101321019. The reversal of 212111101321000 is 123101111212.

It is a happy number.

It is a super-2 number, since 2×2121111013210002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488518257 + ... + 488952256.

It is an arithmetic number, because the mean of its divisors is an integer number (4574562005520).

Almost surely, 2212111101321000 is an apocalyptic number.

212111101321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111101321000 is an abundant number, since it is smaller than the sum of its proper divisors (373432835385560).

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

212111101321000 is a wasteful number, since it uses less digits than its factorization.

212111101321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977470572 (or 977470558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 212111101321000 its reverse (123101111212), we get a palindrome (212234202432212).

The spelling of 212111101321000 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred one million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 217000 977470513 1954941026 3909882052 4887352565 6842293591 7819764104 9774705130 13684587182 19549410260 24436762825 27369174364 30301585903 34211467955 39098820520 48873525650 54738348728 60603171806 68422935910 97747051300 121206343612 122183814125 136845871820 151507929515 171057339775 195494102600 212111101321 242412687224 244367628250 273691743640 303015859030 342114679550 424222202642 488735256500 606031718060 684229359100 757539647575 848444405284 855286698875 977470513000 1060555506605 1212063436120 1368458718200 1515079295150 1696888810568 1710573397750 2121111013210 3030158590300 3421146795500 3787698237875 4242222026420 5302777533025 6060317180600 6842293591000 7575396475750 8484444052840 10605555066050 15150792951500 21211110132100 26513887665125 30301585903000 42422220264200 53027775330250 106055550660500 212111101321000