Search a number
-
+
11202002012112 = 2432383345735363
BaseRepresentation
bin1010001100000010101101…
…0110011100011111010000
31110122220022210002010010120
42203000223112130133100
52432013200003341422
635454043443430240
72234214024022332
oct243005326343720
943586283063116
1011202002012112
11362981911147a
12130b033985380
13633462443382
142aa2734b7452
151465ca78c45c
hexa302b59c7d0

11202002012112 has 160 divisors (see below), whose sum is σ = 30570221380608. Its totient is φ = 3527500382208.

The previous prime is 11202002012081. The next prime is 11202002012141. The reversal of 11202002012112 is 21121020020211.

It is a super-2 number, since 2×112020020121122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202002012091 and 11202002012100.

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, 316754143 + ... + 316789505.

Almost surely, 211202002012112 is an apocalyptic number.

11202002012112 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 11202002012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285110690304).

11202002012112 is an abundant number, since it is smaller than the sum of its proper divisors (19368219368496).

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

11202002012112 is a wasteful number, since it uses less digits than its factorization.

11202002012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38937 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11202002012112 its reverse (21121020020211), we get a palindrome (32323022032323).

The spelling of 11202002012112 in words is "eleven trillion, two hundred two billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 664 996 1104 1328 1909 1992 3457 3818 3984 5727 6914 7636 10371 11454 13828 15272 20742 22908 27656 30544 35363 41484 45816 55312 70726 79511 82968 91632 106089 141452 159022 165936 212178 238533 282904 286931 318044 424356 477066 565808 573862 636088 813349 848712 860793 954132 1147724 1272176 1626698 1697424 1721586 1908264 2295448 2440047 2935129 3253396 3443172 3816528 4590896 4880094 5870258 6506792 6599413 6886344 8805387 9760188 11740516 13013584 13198826 13772688 17610774 19520376 19798239 23481032 26397652 35221548 39040752 39596478 46962064 52795304 67507967 70443096 79192956 105590608 122249891 135015934 140886192 158385912 202523901 244499782 270031868 316771824 366749673 405047802 488999564 540063736 733499346 810095604 977999128 1080127472 1466998692 1620191208 1955998256 2811747493 2933997384 3240382416 5623494986 5867994768 8435242479 10146740953 11246989972 16870484958 20293481906 22493979944 30440222859 33740969916 40586963812 44987959888 60880445718 67481939832 81173927624 121760891436 134963879664 162347855248 233375041919 243521782872 466750083838 487043565744 700125125757 933500167676 1400250251514 1867000335352 2800500503028 3734000670704 5601001006056 11202002012112