Search a number
-
+
132311003010 = 235438310711549
BaseRepresentation
bin111101100111001011…
…0011010111110000010
3110122111222111100202220
41323032112122332002
54131433104044020
6140441031551510
712362534653314
oct1731626327602
9418458440686
10132311003010
115112712597a
122178682b596
13c6278ccc34
14659239d7b4
153695baa240
hex1ece59af82

132311003010 has 128 divisors (see below), whose sum is σ = 331948108800. Its totient is φ = 33726072576.

The previous prime is 132311002973. The next prime is 132311003059. The reversal of 132311003010 is 10300113231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11450716 + ... + 11462264.

It is an arithmetic number, because the mean of its divisors is an integer number (2593344600).

Almost surely, 2132311003010 is an apocalyptic number.

132311003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132311003010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165974054400).

132311003010 is an abundant number, since it is smaller than the sum of its proper divisors (199637105790).

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

132311003010 is a wasteful number, since it uses less digits than its factorization.

132311003010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 132311003010 its reverse (10300113231), we get a palindrome (142611116241).

The spelling of 132311003010 in words is "one hundred thirty-two billion, three hundred eleven million, three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 83 86 107 129 166 214 215 249 258 321 415 430 498 535 642 645 830 1070 1245 1290 1605 2490 3210 3569 4601 7138 8881 9202 10707 11549 13803 17762 17845 21414 23005 23098 26643 27606 34647 35690 44405 46010 53286 53535 57745 69015 69294 88810 107070 115490 133215 138030 173235 266430 346470 381883 496607 763766 958567 993214 1145649 1235743 1489821 1909415 1917134 2291298 2471486 2483035 2875701 2979642 3707229 3818830 4792835 4966070 5728245 5751402 6178715 7414458 7449105 9585670 11456490 12357430 14378505 14898210 18536145 28757010 37072290 41218381 53136949 82436762 102566669 106273898 123655143 159410847 205133338 206091905 247310286 265684745 307700007 318821694 412183810 512833345 531369490 615400014 618275715 797054235 1025666690 1236551430 1538500035 1594108470 3077000070 4410366767 8820733534 13231100301 22051833835 26462200602 44103667670 66155501505 132311003010