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220012201102100 = 225211535620767141
BaseRepresentation
bin110010000001100110010101…
…000101111100101100010100
31001211222221221120121202210112
4302001212111011330230110
5212314134441440231400
62055532113155342152
764225233305110601
oct6201462505745424
91054887846552715
10220012201102100
11641147178a7a40
1220813a08bb1958
13959c0a5289254
143c4890c48b6a8
151a6805016b835
hexc8199517cb14

220012201102100 has 144 divisors (see below), whose sum is σ = 530673188242176. Its totient is φ = 78492353472000.

The previous prime is 220012201102081. The next prime is 220012201102249. The reversal of 220012201102100 is 1201102210022.

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, 3276834530 + ... + 3276901670.

It is an arithmetic number, because the mean of its divisors is an integer number (3685230473904).

Almost surely, 2220012201102100 is an apocalyptic number.

220012201102100 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 220012201102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265336594121088).

220012201102100 is an abundant number, since it is smaller than the sum of its proper divisors (310660987140076).

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

220012201102100 is a wasteful number, since it uses less digits than its factorization.

220012201102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123426 (or 123419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220012201102100 its reverse (1201102210022), we get a palindrome (221213303312122).

The spelling of 220012201102100 in words is "two hundred twenty trillion, twelve billion, two hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 56207 58300 67141 112414 134282 224828 268564 281035 335705 562070 618277 671410 738551 1124140 1236554 1342820 1405175 1477102 1678525 2473108 2810350 2954204 2978971 3091385 3357050 3558473 3692755 5620700 5957942 6182770 6714100 7116946 7385510 11915884 12365540 14233892 14771020 14894855 15456925 17792365 18463775 29789710 30913850 32768681 35584730 36927550 39143203 59579420 61827700 65537362 71169460 73855100 74474275 78286406 88961825 131074724 148948550 156572812 163843405 177923650 195716015 297897100 327686810 355847300 391432030 655373620 782864060 819217025 978580075 1638434050 1957160150 3276868100 3773794187 3914320300 7547588374 15095176748 18868970935 37737941870 41511736057 75475883740 83023472114 94344854675 166046944228 188689709350 200011091911 207558680285 377379418700 400022183822 415117360570 800044367644 830234721140 1000055459555 1037793401425 2000110919110 2075586802850 2200122011021 4000221838220 4151173605700 4400244022042 5000277297775 8800488044084 10000554595550 11000610055105 20001109191100 22001220110210 44002440220420 55003050275525 110006100551050 220012201102100