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132001223131032 = 233106934611486577
BaseRepresentation
bin11110000000110111101110…
…000000111011111110011000
3122022101012020012101122002020
4132000313232000323332120
5114300202001110143112
61144424305202534440
736542526235514313
oct3600675600737630
9568335205348066
10132001223131032
113907244a213502
121297a87a667420
13588687b34c318
142484c7127d97a
15103d9c4b3048c
hex780dee03bf98

132001223131032 has 64 divisors (see below), whose sum is σ = 330407420911200. Its totient is φ = 43946516490240.

The previous prime is 132001223130989. The next prime is 132001223131079. The reversal of 132001223131032 is 230131322100231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132001223130993 and 132001223131011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88052128 + ... + 89538704.

Almost surely, 2132001223131032 is an apocalyptic number.

132001223131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132001223131032 is an abundant number, since it is smaller than the sum of its proper divisors (198406197780168).

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

132001223131032 is a wasteful number, since it uses less digits than its factorization.

132001223131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491116 (or 1491112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132001223131032 its reverse (230131322100231), we get a palindrome (362132545231263).

The spelling of 132001223131032 in words is "one hundred thirty-two trillion, one billion, two hundred twenty-three million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1069 2138 3207 3461 4276 6414 6922 8552 10383 12828 13844 20766 25656 27688 41532 83064 1486577 2973154 3699809 4459731 5946308 7399618 8919462 11099427 11892616 14799236 17838924 22198854 29598472 35677848 44397708 88795416 1589150813 3178301626 4767452439 5145042997 6356603252 9534904878 10290085994 12713206504 15435128991 19069809756 20580171988 30870257982 38139619512 41160343976 61740515964 123481031928 5500050963793 11000101927586 16500152891379 22000203855172 33000305782758 44000407710344 66000611565516 132001223131032