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11133223002 = 232112316714639
BaseRepresentation
bin10100101111001011…
…11000000001011010
31001201220010022211200
422113211320001122
5140300101114002
65040423335030
7542614556046
oct122745700132
931656108750
1011133223002
1147a3461250
1221a85b1476
131085701125
1477886d026
15452607b1c
hex29797805a

11133223002 has 96 divisors (see below), whose sum is σ = 27625328640. Its totient is φ = 3207478560.

The previous prime is 11133223001. The next prime is 11133223021. The reversal of 11133223002 is 20032233111.

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

It is not an unprimeable number, because it can be changed into a prime (11133223001) 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, 753199 + ... + 767837.

It is an arithmetic number, because the mean of its divisors is an integer number (287763840).

Almost surely, 211133223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

11133223002 is an abundant number, since it is smaller than the sum of its proper divisors (16492105638).

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

11133223002 is a wasteful number, since it uses less digits than its factorization.

11133223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848 (or 14845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11133223002 its reverse (20032233111), we get a palindrome (31165456113).

The spelling of 11133223002 in words is "eleven billion, one hundred thirty-three million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 167 198 207 253 334 414 501 506 759 1002 1503 1518 1837 2277 3006 3674 3841 4554 5511 7682 11022 11523 14639 16533 23046 29278 33066 34569 42251 43917 69138 84502 87834 126753 131751 161029 253506 263502 322058 336697 380259 483087 673394 760518 966174 1010091 1449261 2020182 2444713 2898522 3030273 3703667 4889426 6060546 7334139 7407334 11111001 14668278 22002417 22222002 26891843 33333003 44004834 53783686 56228399 66666006 80675529 112456798 161351058 168685197 242026587 337370394 484053174 506055591 618512389 1012111182 1237024778 1855537167 3711074334 5566611501 11133223002