Search a number
-
+
101133003020 = 22575478811499
BaseRepresentation
bin101111000101111111…
…1110010100100001100
3100200001010120212012112
41132023333302210030
53124110022044040
6114243155123152
710210112225210
oct1361377624414
9320033525175
10101133003020
1139987a42035
12177252a34b8
1396c947722a
144c75710940
15296d93e365
hex178bff290c

101133003020 has 96 divisors (see below), whose sum is σ = 243601344000. Its totient is φ = 34548433920.

The previous prime is 101133003017. The next prime is 101133003107. The reversal of 101133003020 is 20300331101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101133002986 and 101133003004.

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, 67466231 + ... + 67467729.

It is an arithmetic number, because the mean of its divisors is an integer number (2537514000).

Almost surely, 2101133003020 is an apocalyptic number.

101133003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133003020 is an abundant number, since it is smaller than the sum of its proper divisors (142468340980).

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

101133003020 is a wasteful number, since it uses less digits than its factorization.

101133003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101133003020 its reverse (20300331101), we get a palindrome (121433334121).

The spelling of 101133003020 in words is "one hundred one billion, one hundred thirty-three million, three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 547 881 1094 1499 1762 2188 2735 2998 3524 3829 4405 5470 5996 6167 7495 7658 8810 10493 10940 12334 14990 15316 17620 19145 20986 24668 29980 30835 38290 41972 52465 61670 76580 104930 123340 209860 481907 819953 963814 1320619 1639906 1927628 2409535 2641238 3279812 3373349 4099765 4819070 5282476 5739671 6603095 6746698 8199530 9244333 9638140 11479342 13206190 13493396 16399060 16866745 18488666 22958684 26412380 28698355 33733490 36977332 46221665 57396710 67466980 92443330 114793420 184886660 722378593 1444757186 2889514372 3611892965 5056650151 7223785930 10113300302 14447571860 20226600604 25283250755 50566501510 101133003020