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1103131331020 = 2254114975711927
BaseRepresentation
bin10000000011010111110…
…000000100100111001100
310220110101010012212100201
4100003113300010213030
5121033203110043040
62202434352503244
7142461423413335
oct20032760044714
93813333185321
101103131331020
11395920972374
1215996454ab24
1380042753074
143b56b2d928c
151da65837a9a
hex100d7c049cc

1103131331020 has 96 divisors (see below), whose sum is σ = 2392360790400. Its totient is φ = 427000412160.

The previous prime is 1103131331017. The next prime is 1103131331021. The reversal of 1103131331020 is 201331313011.

It is not an unprimeable number, because it can be changed into a prime (1103131331021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92484297 + ... + 92496223.

It is an arithmetic number, because the mean of its divisors is an integer number (24920424900).

Almost surely, 21103131331020 is an apocalyptic number.

1103131331020 is a gapful number since it is divisible by the number (10) 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 1103131331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196180395200).

1103131331020 is an abundant number, since it is smaller than the sum of its proper divisors (1289229459380).

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

1103131331020 is a wasteful number, since it uses less digits than its factorization.

1103131331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1103131331020 its reverse (201331313011), we get a palindrome (1304462644031).

The spelling of 1103131331020 in words is "one trillion, one hundred three billion, one hundred thirty-one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 596 745 757 820 1490 1514 2980 3028 3785 6109 7570 11927 12218 15140 23854 24436 30545 31037 47708 59635 61090 62074 112793 119270 122180 124148 155185 225586 238540 310370 451172 489007 563965 620740 978014 1127930 1777123 1956028 2255860 2445035 3554246 4624513 4890070 7108492 8885615 9028739 9249026 9780140 17771230 18057478 18498052 23122565 35542460 36114956 45143695 46245130 72862043 90287390 92490260 145724086 180574780 291448172 364310215 370178299 728620430 740356598 1345282111 1457240860 1480713196 1850891495 2690564222 3701782990 5381128444 6726410555 7403565980 13452821110 26905642220 55156566551 110313133102 220626266204 275782832755 551565665510 1103131331020