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132023221020 = 2232519193200017
BaseRepresentation
bin111101011110100110…
…0100111101100011100
3110121202220222112002200
41322331030213230130
54130340421033040
6140352311451500
712352441601625
oct1727514475434
9417686875080
10132023221020
1150a99737019
1221706386b90
13c5b00bc432
14656608aa4c
15367a7b1630
hex1ebd327b1c

132023221020 has 144 divisors (see below), whose sum is σ = 423734132640. Its totient is φ = 33180254208.

The previous prime is 132023221019. The next prime is 132023221021. The reversal of 132023221020 is 20122320231.

132023221020 is a `hidden beast` number, since 1 + 320 + 2 + 322 + 1 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (132023221019) and next prime (132023221021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132023220984 and 132023221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132023221021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560052 + ... + 760068.

Almost surely, 2132023221020 is an apocalyptic number.

132023221020 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 132023221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211867066320).

132023221020 is an abundant number, since it is smaller than the sum of its proper divisors (291710911620).

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

132023221020 is a wasteful number, since it uses less digits than its factorization.

132023221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200244 (or 200239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132023221020 its reverse (20122320231), we get a palindrome (152145541251).

The spelling of 132023221020 in words is "one hundred thirty-two billion, twenty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 193 228 285 342 380 386 570 579 684 772 855 965 1140 1158 1710 1737 1930 2316 2895 3420 3474 3667 3860 5790 6948 7334 8685 11001 11580 14668 17370 18335 22002 33003 34740 36670 44004 55005 66006 73340 110010 132012 165015 200017 220020 330030 400034 600051 660060 800068 1000085 1200102 1800153 2000170 2400204 3000255 3600306 3800323 4000340 6000510 7200612 7600646 9000765 11400969 12001020 15201292 18001530 19001615 22801938 34202907 36003060 38003230 38603281 45603876 57004845 68405814 76006460 77206562 114009690 115809843 136811628 154413124 171014535 193016405 228019380 231619686 342029070 347429529 386032810 463239372 579049215 684058140 694859058 733462339 772065620 1158098430 1389718116 1466924678 1737147645 2200387017 2316196860 2933849356 3474295290 3667311695 4400774034 6601161051 6948590580 7334623390 8801548068 11001935085 13202322102 14669246780 22003870170 26404644204 33005805255 44007740340 66011610510 132023221020