Search a number
-
+
2201101021120 = 26543493732401
BaseRepresentation
bin100000000001111011110…
…110000010111111000000
321210102102111220012111111
4200001323312002333000
5242030323330133440
64403101041453104
7315011222660131
oct40017366027700
97712374805444
102201101021120
117795331644a1
122b6708341194
1312c741a00c21
1478768c97c88
153c3c7e3a4ea
hex2007bd82fc0

2201101021120 has 112 divisors (see below), whose sum is σ = 5364516076128. Its totient is φ = 859764326400.

The previous prime is 2201101021111. The next prime is 2201101021121. The reversal of 2201101021120 is 211201011022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201101021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201101021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67916920 + ... + 67949320.

Almost surely, 22201101021120 is an apocalyptic number.

2201101021120 is a gapful number since it is divisible by the number (20) 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 2201101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682258038064).

2201101021120 is an abundant number, since it is smaller than the sum of its proper divisors (3163415055008).

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

2201101021120 is a wasteful number, since it uses less digits than its factorization.

2201101021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37398 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2201101021120 its reverse (211201011022), we get a palindrome (2412302032142).

The spelling of 2201101021120 in words is "two trillion, two hundred one billion, one hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 4937 6880 9874 13760 19748 24685 32401 39496 49370 64802 78992 98740 129604 157984 162005 197480 212291 259208 315968 324010 394960 424582 518416 648020 789920 849164 1036832 1061455 1296040 1393243 1579840 1698328 2073664 2122910 2592080 2786486 3396656 4245820 5184160 5572972 6793312 6966215 8491640 10368320 11145944 13586624 13932430 16983280 22291888 27864860 33966560 44583776 55729720 67933120 89167552 111459440 159963737 222918880 319927474 445837760 639854948 799818685 1279709896 1599637370 2559419792 3199274740 5118839584 6398549480 6878440691 10237679168 12797098960 13756881382 25594197920 27513762764 34392203455 51188395840 55027525528 68784406910 110055051056 137568813820 220110102112 275137627640 440220204224 550275255280 1100550510560 2201101021120