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1101131231220 = 2232583110366821
BaseRepresentation
bin10000000001100000100…
…010010010111111110100
310220021012201200021020100
4100001200202102333310
5121020104043344340
62201504103434100
7142361026014516
oct20014042227764
93807181607210
101101131231220
11394a94967829
121594a6755930
137cab4272467
143b41b815bb6
151d999e55830
hex10060892ff4

1101131231220 has 144 divisors (see below), whose sum is σ = 3383455525632. Its totient is φ = 289829879040.

The previous prime is 1101131231203. The next prime is 1101131231227. The reversal of 1101131231220 is 221321311011.

1101131231220 is a `hidden beast` number, since 1 + 10 + 11 + 312 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101131231193 and 1101131231202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101131231227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16445410 + ... + 16512230.

It is an arithmetic number, because the mean of its divisors is an integer number (23496218928).

Almost surely, 21101131231220 is an apocalyptic number.

1101131231220 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 1101131231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691727762816).

1101131231220 is an abundant number, since it is smaller than the sum of its proper divisors (2282324294412).

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

1101131231220 is a wasteful number, since it uses less digits than its factorization.

1101131231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68022 (or 68017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101131231220 its reverse (221321311011), we get a palindrome (1322452542231).

The spelling of 1101131231220 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1103 1245 1494 1660 2206 2490 2988 3309 3735 4412 4980 5515 6618 7470 9927 11030 13236 14940 16545 19854 22060 33090 39708 49635 66180 66821 91549 99270 133642 183098 198540 200463 267284 274647 334105 366196 400926 457745 549294 601389 668210 801852 823941 915490 1002315 1098588 1202778 1336420 1373235 1647882 1830980 2004630 2405556 2746470 3006945 3295764 4009260 4119705 5492940 5546143 6013890 8239410 11092286 12027780 16478820 16638429 22184572 27730715 33276858 49915287 55461430 66553716 73703563 83192145 99830574 110922860 147407126 166384290 199661148 221110689 249576435 294814252 332768580 368517815 442221378 499152870 663332067 737035630 884442756 998305740 1105553445 1326664134 1474071260 2211106890 2653328268 3316660335 4422213780 6117395729 6633320670 12234791458 13266641340 18352187187 24469582916 30586978645 36704374374 55056561561 61173957290 73408748748 91760935935 110113123122 122347914580 183521871870 220226246244 275282807805 367043743740 550565615610 1101131231220