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320222220000100 = 225211231957828133
BaseRepresentation
bin100100011001111011000101…
…1101011000001101101100100
31112222210221112002112201212221
41020303312023223001231210
5313433010101310000400
63053020020152122124
7124310202062401255
oct11063661353015544
91488727462481787
10320222220000100
119303a532017700
122bab9265696344
131098aa972c7472
145910ba3c22b2c
152704aac752c1a
hex1233d8bac1b64

320222220000100 has 108 divisors (see below), whose sum is σ = 763820979402292. Its totient is φ = 116440659244800.

The previous prime is 320222220000049. The next prime is 320222220000139. The reversal of 320222220000100 is 1000022222023.

It can be written as a sum of positive squares in 6 ways, for example, as 31326386612004 + 288895833388096 = 5596998^2 + 16996936^2 .

It is a super-5 number, since 5×3202222200001005 (a number of 74 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386265634 + ... + 387093766.

Almost surely, 2320222220000100 is an apocalyptic number.

It is an amenable number.

320222220000100 is an abundant number, since it is smaller than the sum of its proper divisors (443598759402192).

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

320222220000100 is a wasteful number, since it uses less digits than its factorization.

320222220000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860126 (or 860108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 320222220000100 its reverse (1000022222023), we get a palindrome (321222242222123).

The spelling of 320222220000100 in words is "three hundred twenty trillion, two hundred twenty-two billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 31957 63914 127828 159785 319570 351527 639140 703054 798925 828133 1406108 1597850 1656266 1757635 3195700 3312532 3515270 3866797 4140665 7030540 7733594 8281330 8788175 9109463 15467188 16562660 17576350 18218926 19333985 20703325 35152700 36437852 38667970 41406650 45547315 77335940 82813300 91094630 96669925 100204093 182189260 193339850 200408186 227736575 386679700 400816372 455473150 501020465 910946300 1002040930 2004081860 2505102325 5010204650 10020409300 26464646281 52929292562 105858585124 132323231405 264646462810 291111109091 529292925620 582222218182 661616157025 1164444436364 1323232314050 1455555545455 2646464628100 2911111090910 3202222200001 5822222181820 6404444400002 7277777727275 12808888800004 14555555454550 16011111000005 29111110909100 32022222000010 64044444000020 80055555000025 160111110000050 320222220000100