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132002301000 = 23353288715241
BaseRepresentation
bin111101011101111110…
…0110100010001001000
3110121201110121200020010
41322323330310101020
54130320042113000
6140350243231520
712352066021413
oct1727374642110
9417643550203
10132002301000
1150a88948549
12216bb3785a0
13c5a897631b
1465633a2b7a
153678a2cd50
hex1ebbf34448

132002301000 has 128 divisors (see below), whose sum is σ = 412016866560. Its totient is φ = 35186112000.

The previous prime is 132002300993. The next prime is 132002301023. The reversal of 132002301000 is 103200231.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8653380 + ... + 8668620.

It is an arithmetic number, because the mean of its divisors is an integer number (3218881770).

Almost surely, 2132002301000 is an apocalyptic number.

132002301000 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 132002301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206008433280).

132002301000 is an abundant number, since it is smaller than the sum of its proper divisors (280014565560).

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

132002301000 is a wasteful number, since it uses less digits than its factorization.

132002301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18152 (or 18138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132002301000 its reverse (103200231), we get a palindrome (132105501231).

The spelling of 132002301000 in words is "one hundred thirty-two billion, two million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2887 3000 5774 8661 11548 14435 15241 17322 23096 28870 30482 34644 43305 45723 57740 60964 69288 72175 76205 86610 91446 115480 121928 144350 152410 173220 182892 216525 228615 288700 304820 346440 360875 365784 381025 433050 457230 577400 609640 721750 762050 866100 914460 1082625 1143075 1443500 1524100 1732200 1828920 1905125 2165250 2286150 2887000 3048200 3810250 4330500 4572300 5715375 7620500 8661000 9144600 11430750 15241000 22861500 44000767 45723000 88001534 132002301 176003068 220003835 264004602 352006136 440007670 528009204 660011505 880015340 1056018408 1100019175 1320023010 1760030680 2200038350 2640046020 3300057525 4400076700 5280092040 5500095875 6600115050 8800153400 11000191750 13200230100 16500287625 22000383500 26400460200 33000575250 44000767000 66001150500 132002301000