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11201203100112 = 24389163111714401
BaseRepresentation
bin1010001011111111101110…
…1110110101100111010000
31110122211021002210011220020
42202333323232311213100
52432010030443200422
635453432304143440
72234155153256664
oct242777356654720
943584232704806
1011201203100112
113629449154023
12130aa50307b80
13633365a8178c
142aa1d93528a4
1514658057c95c
hexa2ffbbb59d0

11201203100112 has 160 divisors (see below), whose sum is σ = 29469492224640. Its totient is φ = 3665593958400.

The previous prime is 11201203100071. The next prime is 11201203100159. The reversal of 11201203100112 is 21100130210211.

It is a junction number, because it is equal to n+sod(n) for n = 11201203100091 and 11201203100100.

It is a congruent number.

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, 777800112 + ... + 777814512.

It is an arithmetic number, because the mean of its divisors is an integer number (184184326404).

Almost surely, 211201203100112 is an apocalyptic number.

11201203100112 is a gapful number since it is divisible by the number (12) 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 11201203100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734746112320).

11201203100112 is an abundant number, since it is smaller than the sum of its proper divisors (18268289124528).

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

11201203100112 is a wasteful number, since it uses less digits than its factorization.

11201203100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15781 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11201203100112 its reverse (21100130210211), we get a palindrome (32301333310323).

The spelling of 11201203100112 in words is "eleven trillion, two hundred one billion, two hundred three million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 163 178 267 326 356 489 534 652 712 978 1068 1117 1304 1424 1956 2136 2234 2608 3351 3912 4272 4468 6702 7824 8936 13404 14401 14507 17872 26808 28802 29014 43203 43521 53616 57604 58028 86406 87042 99413 115208 116056 172812 174084 182071 198826 230416 232112 298239 345624 348168 364142 397652 546213 596478 691248 696336 728284 795304 1092426 1192956 1281689 1456568 1590608 2184852 2347363 2385912 2563378 2913136 3845067 4369704 4694726 4771824 5126756 7042089 7690134 8739408 9389452 10253512 14084178 15380268 16085917 16204319 18778904 20507024 28168356 30760536 32171834 32408638 37557808 48257751 48612957 56336712 61521072 64343668 64817276 96515502 97225914 112673424 128687336 129634552 193031004 194451828 208915307 257374672 259269104 386062008 388903656 417830614 626745921 772124016 777807312 835661228 1253491842 1431646613 1671322456 2506983684 2622004471 2863293226 3342644912 4294939839 5013967368 5244008942 5726586452 7866013413 8589879678 10027934736 10488017884 11453172904 15732026826 17179759356 20976035768 22906345808 31464053652 34359518712 41952071536 62928107304 68719037424 125856214608 233358397919 466716795838 700075193757 933433591676 1400150387514 1866867183352 2800300775028 3733734366704 5600601550056 11201203100112