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103411352022 = 231119374574877
BaseRepresentation
bin110000001001111001…
…1000000000111010110
3100212220220200222110220
41200103303000013112
53143241301231042
6115301224055210
710320425663136
oct1402363000726
9325826628426
10103411352022
113a9470153a0
1218060304506
1399a04ab634
145010144ac6
152a539858ec
hex1813cc01d6

103411352022 has 128 divisors (see below), whose sum is σ = 244502530560. Its totient is φ = 28815989760.

The previous prime is 103411352021. The next prime is 103411352029. The reversal of 103411352022 is 220253114301.

It is a super-3 number, since 3×1034113520223 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103411351983 and 103411352001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103411352021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21201448 + ... + 21206324.

It is an arithmetic number, because the mean of its divisors is an integer number (1910176020).

Almost surely, 2103411352022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103411352022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122251265280).

103411352022 is an abundant number, since it is smaller than the sum of its proper divisors (141091178538).

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

103411352022 is a wasteful number, since it uses less digits than its factorization.

103411352022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103411352022 its reverse (220253114301), we get a palindrome (323664466323).

The spelling of 103411352022 in words is "one hundred three billion, four hundred eleven million, three hundred fifty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 457 627 703 814 914 1221 1254 1371 1406 2109 2442 2742 4218 4877 5027 7733 8683 9754 10054 14631 15081 15466 16909 17366 23199 26049 29262 30162 33818 46398 50727 52098 53647 92663 95513 101454 107294 160941 180449 185326 185999 191026 277989 286539 321271 321882 360898 371998 541347 555978 557997 573078 642542 963813 1019293 1082694 1115994 1927626 1984939 2038586 2228789 3057879 3428531 3533981 3969878 4457578 5954817 6115758 6686367 6857062 7067962 10285593 10601943 11909634 13372734 20571186 21203886 24516679 37713841 42346991 49033358 73550037 75427682 82465193 84693982 113141523 127040973 147100074 164930386 226283046 247395579 254081946 465816901 494791158 907117123 931633802 1397450703 1566838667 1814234246 2721351369 2794901406 3133677334 4700516001 5442702738 9401032002 17235225337 34470450674 51705676011 103411352022