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220100001111100 = 2252112333725814851
BaseRepresentation
bin110010000010111000000110…
…011000011001110000111100
31001212022100120111211100121201
4302002320012120121300330
5212322104300241023400
62100040313350305244
764234462131633325
oct6202700630316074
91055270514740551
10220100001111100
11641489826a5250
1220828a31058224
1395a7458380cb6
143c4cc7b11144c
151a6a48d2ce06a
hexc82e06619c3c

220100001111100 has 144 divisors (see below), whose sum is σ = 545303846820096. Its totient is φ = 76329348480000.

The previous prime is 220100001111059. The next prime is 220100001111101. The reversal of 220100001111100 is 1111100001022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100001111101) 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, 4381326 + ... + 21433525.

It is an arithmetic number, because the mean of its divisors is an integer number (3786832269584).

Almost surely, 2220100001111100 is an apocalyptic number.

220100001111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100001111100 is an abundant number, since it is smaller than the sum of its proper divisors (325203845708996).

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

220100001111100 is a wasteful number, since it uses less digits than its factorization.

220100001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25815236 (or 25815229 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 220100001111100 its reverse (1111100001022), we get a palindrome (221211101112122).

The spelling of 220100001111100 in words is "two hundred twenty trillion, one hundred billion, one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 337 460 506 550 575 674 1012 1100 1150 1265 1348 1685 2300 2530 3370 3707 5060 6325 6740 7414 7751 8425 12650 14828 15502 16850 18535 25300 31004 33700 37070 38755 74140 77510 85261 92675 155020 170522 185350 193775 341044 370700 387550 426305 775100 852610 1705220 2131525 4263050 8526100 25814851 51629702 103259404 129074255 258148510 283963361 516297020 567926722 593741573 645371275 1135853444 1187483146 1290742550 1419816805 2374966292 2581485100 2839633610 2968707865 5679267220 5937415730 6531157303 7099084025 8699604787 11874831460 13062314606 14198168050 14843539325 17399209574 26124629212 28396336100 29687078650 32655786515 34798419148 43498023935 59374157300 65311573030 86996047870 95695652657 130623146060 163278932575 173992095740 191391305314 200090910101 217490119675 326557865150 382782610628 400181820202 434980239350 478478263285 653115730300 800363640404 869960478700 956956526570 1000454550505 1913913053140 2000909101010 2201000011111 2392391316425 4001818202020 4402000022222 4784782632850 5002272752525 8804000044444 9569565265700 10004545505050 11005000055555 20009091010100 22010000111110 44020000222220 55025000277775 110050000555550 220100001111100