Search a number
-
+
1100001020220 = 2232583710910357
BaseRepresentation
bin10000000000011101001…
…010111000100100111100
310220011021221222121012200
4100000131022320210330
5121010300230121340
62201200011231500
7142321023253644
oct20003512704474
93804257877180
101100001020220
11394564998553
12159230148590
137c96407475b
143b351691524
151d930b03330
hex1001d2b893c

1100001020220 has 144 divisors (see below), whose sum is σ = 3377671708320. Its totient is φ = 289730723328.

The previous prime is 1100001020219. The next prime is 1100001020233. The reversal of 1100001020220 is 220201000011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106203282 + ... + 106213638.

It is an arithmetic number, because the mean of its divisors is an integer number (23456053530).

Almost surely, 21100001020220 is an apocalyptic number.

1100001020220 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 1100001020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688835854160).

1100001020220 is an abundant number, since it is smaller than the sum of its proper divisors (2277670688100).

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

1100001020220 is a wasteful number, since it uses less digits than its factorization.

1100001020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564 (or 17559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100001020220 its reverse (220201000011), we get a palindrome (1320202020231).

The spelling of 1100001020220 in words is "one trillion, one hundred billion, one million, twenty 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 1245 1494 1660 2490 2988 3735 4980 7109 7470 10357 14218 14940 20714 21327 28436 31071 35545 41428 42654 51785 62142 63981 71090 85308 93213 103570 106635 124284 127962 142180 155355 186426 207140 213270 255924 310710 319905 372852 426540 466065 590047 621420 639810 859631 932130 1180094 1279620 1719262 1770141 1864260 2360188 2578893 2950235 3438524 3540282 4298155 5157786 5310423 5900470 7080564 7736679 8596310 8850705 10315572 10620846 11800940 12894465 15473358 17192620 17701410 21241692 25788930 26552115 30946716 35402820 38683395 51577860 53104230 73627913 77366790 106208460 147255826 154733580 220883739 294511652 368139565 441767478 662651217 736279130 883534956 1104418695 1325302434 1472558260 2208837390 2650604868 3313256085 4417674780 6111116779 6626512170 12222233558 13253024340 18333350337 24444467116 30555583895 36666700674 55000051011 61111167790 73333401348 91666751685 110000102022 122222335580 183333503370 220000204044 275000255055 366667006740 550000510110 1100001020220