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1022232132100 = 225210222321321
BaseRepresentation
bin11101110000000011100…
…10000111101000000100
310121201120010002202100001
432320001302013220010
5113222012411211400
62101335034131044
7133565602520464
oct16700162075004
93551503082301
101022232132100
11364587430893
12146147580a84
137551c2453aa
1437694d71ba4
151b8cd449a6a
hexee01c87a04

1022232132100 has 18 divisors (see below), whose sum is σ = 2218243726874. Its totient is φ = 408892852800.

The previous prime is 1022232132013. The next prime is 1022232132109. The reversal of 1022232132100 is 12312322201.

It can be written as a sum of positive squares in 3 ways, for example, as 243560016324 + 778672115776 = 493518^2 + 882424^2 .

It is a super-6 number, since 6×10222321321006 (a number of 73 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022232132109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5111160561 + ... + 5111160760.

Almost surely, 21022232132100 is an apocalyptic number.

1022232132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022232132100 is an abundant number, since it is smaller than the sum of its proper divisors (1196011594774).

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

1022232132100 is a wasteful number, since it uses less digits than its factorization.

1022232132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222321335 (or 10222321328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1022232132100 its reverse (12312322201), we get a palindrome (1034544454301).

The spelling of 1022232132100 in words is "one trillion, twenty-two billion, two hundred thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10222321321 20444642642 40889285284 51111606605 102223213210 204446426420 255558033025 511116066050 1022232132100