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132012011100 = 223527110515897
BaseRepresentation
bin111101011110010000…
…1110110111001011100
3110121202010212222222110
41322330201312321130
54130330033323400
6140351231314020
712352244402634
oct1727441667134
9417663788873
10132012011100
1150a9337a922
122170267b910
13c5aa995c48
1465647ad6c4
1536797e9e50
hex1ebc876e5c

132012011100 has 144 divisors (see below), whose sum is σ = 387768681216. Its totient is φ = 34668480000.

The previous prime is 132012011081. The next prime is 132012011113. The reversal of 132012011100 is 1110210231.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22383352 + ... + 22389248.

It is an arithmetic number, because the mean of its divisors is an integer number (2692838064).

Almost surely, 2132012011100 is an apocalyptic number.

132012011100 is a gapful number since it is divisible by the number (10) 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 132012011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193884340608).

132012011100 is an abundant number, since it is smaller than the sum of its proper divisors (255756670116).

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

132012011100 is a wasteful number, since it uses less digits than its factorization.

132012011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7029 counting only the distinct ones).

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

Adding to 132012011100 its reverse (1110210231), we get a palindrome (133122221331).

The spelling of 132012011100 in words is "one hundred thirty-two billion, twelve million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1051 1065 1420 1775 2102 2130 3153 3550 4204 4260 5255 5325 5897 6306 7100 10510 10650 11794 12612 15765 17691 21020 21300 23588 26275 29485 31530 35382 52550 58970 63060 70764 74621 78825 88455 105100 117940 147425 149242 157650 176910 223863 294850 298484 315300 353820 373105 418687 442275 447726 589700 746210 837374 884550 895452 1119315 1256061 1492420 1674748 1769100 1865525 2093435 2238630 2512122 3731050 4186870 4477260 5024244 5596575 6197747 6280305 7462100 8373740 10467175 11193150 12395494 12560610 18593241 20934350 22386300 24790988 25121220 30988735 31401525 37186482 41868700 61977470 62803050 74372964 92966205 123954940 125606100 154943675 185932410 309887350 371864820 440040037 464831025 619774700 880080074 929662050 1320120111 1760160148 1859324100 2200200185 2640240222 4400400370 5280480444 6600600555 8800800740 11001000925 13201201110 22002001850 26402402220 33003002775 44004003700 66006005550 132012011100