Search a number
-
+
1100013032202 = 2372373140911071
BaseRepresentation
bin10000000000011101111…
…000101101001100001010
310220011022210120212112220
4100000131320231030022
5121010311314012302
62201201120514510
7142321230333210
oct20003570551412
93804283525486
101100013032202
11394570752307
1215923417ba36
137c9666bc036
143b3530dacb0
151d931bc74bc
hex1001de2d30a

1100013032202 has 128 divisors (see below), whose sum is σ = 2661701713920. Its totient is φ = 296269332480.

The previous prime is 1100013032141. The next prime is 1100013032213. The reversal of 1100013032202 is 2022303100011.

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, 99354327 + ... + 99365397.

It is an arithmetic number, because the mean of its divisors is an integer number (20794544640).

Almost surely, 21100013032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100013032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330850856960).

1100013032202 is an abundant number, since it is smaller than the sum of its proper divisors (1561688681718).

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

1100013032202 is a wasteful number, since it uses less digits than its factorization.

1100013032202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1100013032202 its reverse (2022303100011), we get a palindrome (3122316132213).

The spelling of 1100013032202 in words is "one trillion, one hundred billion, thirteen million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 73 138 146 161 219 322 438 483 511 966 1022 1409 1533 1679 2818 3066 3358 4227 5037 8454 9863 10074 11071 11753 19726 22142 23506 29589 32407 33213 35259 59178 64814 66426 70518 77497 97221 102857 154994 194442 205714 226849 232491 254633 308571 453698 464982 509266 617142 680547 719999 763899 808183 1361094 1439998 1527798 1616366 1782431 2159997 2365711 2424549 3564862 4319994 4731422 4849098 5347293 5657281 7097133 10694586 11314562 14194266 15599039 16559977 16971843 18588209 31198078 33119954 33943686 37176418 46797117 49679931 55764627 93594234 99359862 109193273 111529254 130117463 218386546 260234926 327579819 358777897 390352389 655159638 717555794 780704778 1076333691 1138729847 2152667382 2277459694 2511445279 3416189541 5022890558 6832379082 7534335837 7971108929 15068671674 15942217858 23913326787 26190786481 47826653574 52381572962 78572359443 157144718886 183335505367 366671010734 550006516101 1100013032202