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2132211020 = 2251314791699
BaseRepresentation
bin111111100010110…
…1111010101001100
312111121010112122112
41333011233111030
513331321223040
6551324403152
7103560331442
oct17705572514
95447115575
102132211020
119a4639775
124b60a64b8
1327c988334
14163272b92
15c72cb365
hex7f16f54c

2132211020 has 48 divisors (see below), whose sum is σ = 4523904000. Its totient is φ = 844109760.

The previous prime is 2132211017. The next prime is 2132211023. The reversal of 2132211020 is 201122312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132211017) and next prime (2132211023).

It is a junction number, because it is equal to n+sod(n) for n = 2132210986 and 2132211004.

It is not an unprimeable number, because it can be changed into a prime (2132211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254131 + ... + 1255829.

It is an arithmetic number, because the mean of its divisors is an integer number (94248000).

Almost surely, 22132211020 is an apocalyptic number.

2132211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132211020 is an abundant number, since it is smaller than the sum of its proper divisors (2391692980).

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

2132211020 is a wasteful number, since it uses less digits than its factorization.

2132211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2132211020 is about 46175.8705386266. The cubic root of 2132211020 is about 1287.0933937068.

Adding to 2132211020 its reverse (201122312), we get a palindrome (2333333332).

The spelling of 2132211020 in words is "two billion, one hundred thirty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 479 524 655 958 1310 1699 1916 2395 2620 3398 4790 6796 8495 9580 16990 33980 62749 125498 222569 250996 313745 445138 627490 813821 890276 1112845 1254980 1627642 2225690 3255284 4069105 4451380 8138210 16276420 106610551 213221102 426442204 533052755 1066105510 2132211020