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220102010012100 = 223523137639645481
BaseRepresentation
bin110010000010111001111110…
…000111110000000111000100
31001212022112202111221002201110
4302002321332013300013010
5212322122404030341400
62100041244552125020
764234562664206466
oct6202717607600704
91055275674832643
10220102010012100
1164149813671307
12208292b1996770
1395a76b8623908
143c4cdcbc46136
151a6a55984de50
hexc82e7e1f01c4

220102010012100 has 144 divisors (see below), whose sum is σ = 675138130505216. Its totient is φ = 55265369472000.

The previous prime is 220102010012039. The next prime is 220102010012111. The reversal of 220102010012100 is 1210010201022.

It is a super-2 number, since 2×2201020100121002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 319478641 + ... + 320166840.

Almost surely, 2220102010012100 is an apocalyptic number.

220102010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102010012100 is an abundant number, since it is smaller than the sum of its proper divisors (455036120493116).

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

220102010012100 is a wasteful number, since it uses less digits than its factorization.

220102010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639645566 (or 639645559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220102010012100 its reverse (1210010201022), we get a palindrome (221312020213122).

The spelling of 220102010012100 in words is "two hundred twenty trillion, one hundred two billion, ten million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 639645481 1279290962 1918936443 2558581924 3198227405 3837872886 6396454810 7675745772 9594682215 12792909620 15991137025 19189364430 19829009911 23666882797 31982274050 38378728860 39658019822 47333765594 47973411075 59487029733 63964548100 71000648391 79316039644 94667531188 95946822150 99145049555 118334413985 118974059466 142001296782 191893644300 198290099110 236668827970 237948118932 284002593564 297435148665 355003241955 396580198220 473337655940 495725247775 591672069925 594870297330 710006483910 733673366707 991450495550 1183344139850 1189740594660 1420012967820 1467346733414 1487175743325 1775016209775 1982900991100 2201020100121 2366688279700 2934693466828 2974351486650 3550032419550 3668366833535 4402040200242 5948702973300 7100064839100 7336733667070 8804080400484 11005100500605 14673467334140 18341834167675 22010201001210 36683668335350 44020402002420 55025502503025 73367336670700 110051005006050 220102010012100