Search a number
-
+
1101221121220 = 2251119214993059
BaseRepresentation
bin10000000001100101111…
…001001100110011000100
310220021102222211011010121
4100001211321030303010
5121020300101334340
62201521034231324
7142363200041503
oct20014571146304
93807388734117
101101221121220
11395030683490
12159510885544
137cac9a862cc
143b42973483a
151d9a2cae94a
hex10065e4ccc4

1101221121220 has 144 divisors (see below), whose sum is σ = 2680463016000. Its totient is φ = 376817898240.

The previous prime is 1101221121197. The next prime is 1101221121229. The reversal of 1101221121220 is 221211221011.

It is a junction number, because it is equal to n+sod(n) for n = 1101221121194 and 1101221121203.

It is not an unprimeable number, because it can be changed into a prime (1101221121229) 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, 11787051 + ... + 11880109.

It is an arithmetic number, because the mean of its divisors is an integer number (18614326500).

Almost surely, 21101221121220 is an apocalyptic number.

1101221121220 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 1101221121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340231508000).

1101221121220 is an abundant number, since it is smaller than the sum of its proper divisors (1579241894780).

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

1101221121220 is a wasteful number, since it uses less digits than its factorization.

1101221121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93266 (or 93245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1101221121220 its reverse (221211221011), we get a palindrome (1322432342231).

The spelling of 1101221121220 in words is "one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 149 190 209 220 298 361 380 418 596 722 745 836 1045 1444 1490 1639 1805 2090 2831 2980 3278 3610 3971 4180 5662 6556 7220 7942 8195 11324 14155 15884 16390 19855 28310 31141 32780 39710 53789 56620 62282 79420 93059 107578 124564 155705 186118 215156 268945 311410 372236 465295 537890 591679 622820 930590 1023649 1075780 1183358 1768121 1861180 2047298 2366716 2958395 3536242 4094596 5118245 5916790 7072484 8840605 10236490 11833580 13865791 17681210 19449331 20472980 27731582 33594299 35362420 38898662 55463164 67188598 69328955 77797324 97246655 134377196 138657910 152523701 167971495 194493310 263450029 277315820 305047402 335942990 369537289 388986620 526900058 610094804 671885980 739074578 762618505 1053800116 1317250145 1478149156 1525237010 1847686445 2634500290 2897950319 3050474020 3695372890 5005550551 5269000580 5795900638 7390745780 10011101102 11591801276 14489751595 20022202204 25027752755 28979503190 50055505510 55061056061 57959006380 100111011020 110122112122 220244224244 275305280305 550610560610 1101221121220