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2132210100 = 2235237192091
BaseRepresentation
bin111111100010110…
…1111000110110100
312111121010111101110
41333011233012310
513331321210400
6551324355020
7103560325656
oct17705570664
95447114343
102132210100
119a4639009
124b60a5a70
1327c987aa7
141632726d6
15c72cae50
hex7f16f1b4

2132210100 has 72 divisors (see below), whose sum is σ = 6335962528. Its totient is φ = 553219200.

The previous prime is 2132210081. The next prime is 2132210117. The reversal of 2132210100 is 10122312.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 84946 + ... + 107145.

Almost surely, 22132210100 is an apocalyptic number.

2132210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132210100 is an abundant number, since it is smaller than the sum of its proper divisors (4203752428).

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

2132210100 is a wasteful number, since it uses less digits than its factorization.

2132210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192145 (or 192138 counting only the distinct ones).

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

The square root of 2132210100 is about 46175.8605767126. The cubic root of 2132210100 is about 1287.0932085897.

Adding to 2132210100 its reverse (10122312), we get a palindrome (2142332412).

The spelling of 2132210100 in words is "two billion, one hundred thirty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 192091 384182 576273 768364 960455 1152546 1920910 2305092 2881365 3841820 4802275 5762730 7107367 9604550 11525460 14214734 14406825 19209100 21322101 28429468 28813650 35536835 42644202 57627300 71073670 85288404 106610505 142147340 177684175 213221010 355368350 426442020 533052525 710736700 1066105050 2132210100