Search a number
-
+
3122121000 = 233535032069
BaseRepresentation
bin1011101000010111…
…1100100100101000
322001120211011212010
42322011330210220
522343230333000
61233445515520
7140240406405
oct27205744450
98046734763
103122121000
1113623a0799
12731712ba0
133a9aa199b
142189152ac
15134167d50
hexba17c928

3122121000 has 128 divisors (see below), whose sum is σ = 9765100800. Its totient is φ = 830508800.

The previous prime is 3122120977. The next prime is 3122121061. The reversal of 3122121000 is 1212213.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1507966 + ... + 1510034.

It is an arithmetic number, because the mean of its divisors is an integer number (76289850).

Almost surely, 23122121000 is an apocalyptic number.

3122121000 is a gapful number since it is divisible by the number (30) 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 3122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882550400).

3122121000 is an abundant number, since it is smaller than the sum of its proper divisors (6642979800).

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

3122121000 is a wasteful number, since it uses less digits than its factorization.

3122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3122121000 is about 55875.9429450636. The cubic root of 3122121000 is about 1461.5597579822.

Adding to 3122121000 its reverse (1212213), we get a palindrome (3123333213).

The spelling of 3122121000 in words is "three billion, one hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 503 600 750 1000 1006 1500 1509 2012 2069 2515 3000 3018 4024 4138 5030 6036 6207 7545 8276 10060 10345 12072 12414 12575 15090 16552 20120 20690 24828 25150 30180 31035 37725 41380 49656 50300 51725 60360 62070 62875 75450 82760 100600 103450 124140 125750 150900 155175 188625 206900 248280 251500 258625 301800 310350 377250 413800 503000 517250 620700 754500 775875 1034500 1040707 1241400 1509000 1551750 2069000 2081414 3103500 3122121 4162828 5203535 6207000 6244242 8325656 10407070 12488484 15610605 20814140 24976968 26017675 31221210 41628280 52035350 62442420 78053025 104070700 124884840 130088375 156106050 208141400 260176750 312212100 390265125 520353500 624424200 780530250 1040707000 1561060500 3122121000