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2150122020 = 2235536131103
BaseRepresentation
bin1000000000101000…
…0100001000100100
312112211211111220220
42000022010020210
513400412401040
6553204324340
7104165510214
oct20012041044
95484744826
102150122020
11a03762552
125000a36b0
132835b9967
141657b6244
15c8b682d0
hex80284224

2150122020 has 96 divisors (see below), whose sum is σ = 6149509632. Its totient is φ = 561120768.

The previous prime is 2150121983. The next prime is 2150122027. The reversal of 2150122020 is 202210512.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2150122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948789 + ... + 1949891.

It is an arithmetic number, because the mean of its divisors is an integer number (64057392).

Almost surely, 22150122020 is an apocalyptic number.

2150122020 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 2150122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074754816).

2150122020 is an abundant number, since it is smaller than the sum of its proper divisors (3999387612).

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

2150122020 is a wasteful number, since it uses less digits than its factorization.

2150122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2150122020 is about 46369.4082343090. The cubic root of 2150122020 is about 1290.6872967524.

Adding to 2150122020 its reverse (202210512), we get a palindrome (2352332532).

The spelling of 2150122020 in words is "two billion, one hundred fifty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 613 636 795 1060 1103 1226 1590 1839 2206 2452 3065 3180 3309 3678 4412 5515 6130 6618 7356 9195 11030 12260 13236 16545 18390 22060 32489 33090 36780 58459 64978 66180 97467 116918 129956 162445 175377 194934 233836 292295 324890 350754 389868 487335 584590 649780 676139 701508 876885 974670 1169180 1352278 1753770 1949340 2028417 2704556 3380695 3507540 4056834 6761390 8113668 10142085 13522780 20284170 35835367 40568340 71670734 107506101 143341468 179176835 215012202 358353670 430024404 537530505 716707340 1075061010 2150122020