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1022201112100 = 225276719217337
BaseRepresentation
bin11101101111111111110…
…11110010011000100100
310121201110221201202220011
432313333323302120210
5113221431441041400
62101332005220004
7133565045043250
oct16677773623044
93551427652804
101022201112100
11364570974023
12146139101604
13755159a406c
1437690bb9260
151b8ca86d8ba
hexedffef2624

1022201112100 has 72 divisors (see below), whose sum is σ = 2535447720960. Its totient is φ = 350415179520.

The previous prime is 1022201112091. The next prime is 1022201112103. The reversal of 1022201112100 is 12111022201.

It is a super-2 number, since 2×10222011121002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022201112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4594632 + ... + 4811968.

It is an arithmetic number, because the mean of its divisors is an integer number (35214551680).

Almost surely, 21022201112100 is an apocalyptic number.

1022201112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022201112100 is an abundant number, since it is smaller than the sum of its proper divisors (1513246608860).

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

1022201112100 is a wasteful number, since it uses less digits than its factorization.

1022201112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224077 (or 224070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022201112100 its reverse (12111022201), we get a palindrome (1034312134301).

The spelling of 1022201112100 in words is "one trillion, twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 6719 13438 26876 33595 47033 67190 94066 134380 167975 188132 217337 235165 335950 434674 470330 671900 869348 940660 1086685 1175825 1521359 2173370 2351650 3042718 4346740 4703300 5433425 6085436 7606795 10866850 15213590 21733700 30427180 38033975 76067950 152135900 1460287303 2920574606 5841149212 7301436515 10222011121 14602873030 20444022242 29205746060 36507182575 40888044484 51110055605 73014365150 102220111210 146028730300 204440222420 255550278025 511100556050 1022201112100