Search a number
-
+
211001001201000 = 23325323444555689
BaseRepresentation
bin101111111110011101111111…
…101110010100110101101000
31000200002111110120020000110100
4233332131333232110311220
5210124020022301413000
62024432304412145400
762305214336543403
oct5776357756246550
91020074416200410
10211001001201000
11612600274363aa
121b7b94a8468260
139097402c5095a
143a1670813ad3a
15195d9485b5a00
hexbfe77fb94d68

211001001201000 has 96 divisors (see below), whose sum is σ = 713183384089800. Its totient is φ = 56266933651200.

The previous prime is 211001001200981. The next prime is 211001001201007. The reversal of 211001001201000 is 102100100112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131951582532324 + 79049418668676 = 11487018^2 + 8890974^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211001001201007) 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, 11722268845 + ... + 11722286844.

Almost surely, 2211001001201000 is an apocalyptic number.

211001001201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001001201000 is an abundant number, since it is smaller than the sum of its proper divisors (502182382888800).

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

211001001201000 is a wasteful number, since it uses less digits than its factorization.

211001001201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23444555716 (or 23444555699 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211001001201000 its reverse (102100100112), we get a palindrome (211103101301112).

The spelling of 211001001201000 in words is "two hundred eleven trillion, one billion, one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23444555689 46889111378 70333667067 93778222756 117222778445 140667334134 187556445512 211001001201 234445556890 281334668268 351668335335 422002002402 468891113780 562669336536 586113892225 703336670670 844004004804 937782227560 1055005006005 1172227784450 1406673341340 1688008009608 1758341676675 2110010012010 2344455568900 2813346682680 2930569461125 3516683353350 4220020024020 4688911137800 5275025030025 5861138922250 7033366706700 8440040048040 8791708383375 10550050060050 11722277844500 14066733413400 17583416766750 21100100120100 23444555689000 26375125150125 35166833533500 42200200240200 52750250300250 70333667067000 105500500600500 211001001201000