Search a number
-
+
32133001021302 = 23319713923953611
BaseRepresentation
bin1110100111001100011000…
…00111001000011101110110
311012202212220002102112101010
413103212030013020131312
513202431341230140202
6152201410305413050
76524350502046666
oct723461407103566
9135685802375333
1032133001021302
11a269590409765
12372b71103a186
1314c118a52949c
147d1361ad61a6
153aacbe31176c
hex1d398c1c8776

32133001021302 has 128 divisors (see below), whose sum is σ = 67788899942400. Its totient is φ = 10142016998400.

The previous prime is 32133001021301. The next prime is 32133001021327. The reversal of 32133001021302 is 20312010033123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133001021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599346477 + ... + 599400087.

It is an arithmetic number, because the mean of its divisors is an integer number (529600780800).

Almost surely, 232133001021302 is an apocalyptic number.

32133001021302 is an abundant number, since it is smaller than the sum of its proper divisors (35655898921098).

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

32133001021302 is a wasteful number, since it uses less digits than its factorization.

32133001021302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54122.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32133001021302 its reverse (20312010033123), we get a palindrome (52445011054425).

The spelling of 32133001021302 in words is "thirty-two trillion, one hundred thirty-three billion, one million, twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 31 62 93 97 139 186 194 239 278 291 417 478 582 717 834 1434 3007 4309 6014 7409 8618 9021 12927 13483 14818 18042 22227 23183 25854 26966 33221 40449 44454 46366 53611 66442 69549 80898 99663 107222 139098 160833 199326 321666 417973 718673 835946 1029851 1253919 1437346 1661941 2059702 2156019 2507838 3089553 3222437 3323882 4312038 4985823 5200267 6179106 6444874 7451929 9667311 9971646 10400534 12813029 14903858 15600801 19334622 22355787 25626058 31201602 38439087 44711574 76878174 99895547 161208277 199791094 231009799 299686641 322416554 397203899 462019598 483624831 599373282 693029397 722837113 794407798 967249662 1191611697 1242863813 1386058794 1445674226 1781011031 2168511339 2383223394 2485727626 3562022062 3728591439 4337022678 5343033093 7457182878 10686066186 22407950503 38528778203 44815901006 55211341961 67223851509 77057556406 110422683922 115586334609 134447703018 165634025883 172758070007 231172669218 331268051766 345516140014 518274210021 1036548420042 5355500170217 10711000340434 16066500510651 32133001021302