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1012022020100 = 2252713463240197
BaseRepresentation
bin11101011101000010011…
…01101000100000000100
310120202012112222022201202
432232201031220200010
5113040110114120400
62052525544042032
7133054564144220
oct16564115504004
93522175868652
101012022020100
113602180575a3
12144178163318
1374582b700c0
1436da6d57780
151b4d1dd64d5
hexeba1368804

1012022020100 has 144 divisors (see below), whose sum is σ = 2708726297088. Its totient is φ = 319595189760.

The previous prime is 1012022020057. The next prime is 1012022020109. The reversal of 1012022020100 is 10202202101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1012022020109) 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, 4093202 + ... + 4333398.

Almost surely, 21012022020100 is an apocalyptic number.

1012022020100 is a gapful number since it is divisible by the number (10) 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 1012022020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354363148544).

1012022020100 is an abundant number, since it is smaller than the sum of its proper divisors (1696704276988).

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

1012022020100 is a wasteful number, since it uses less digits than its factorization.

1012022020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240694 (or 240687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012022020100 its reverse (10202202101), we get a palindrome (1022224222201).

The spelling of 1012022020100 in words is "one trillion, twelve billion, twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 463 650 700 910 926 1300 1820 1852 2275 2315 3241 4550 4630 6019 6482 9100 9260 11575 12038 12964 16205 23150 24076 30095 32410 42133 46300 60190 64820 81025 84266 120380 150475 162050 168532 210665 240197 300950 324100 421330 480394 601900 842660 960788 1053325 1200985 1681379 2106650 2401970 3122561 3362758 4213300 4803940 6004925 6245122 6725516 8406895 12009850 12490244 15612805 16813790 21857927 24019700 31225610 33627580 42034475 43715854 62451220 78064025 84068950 87431708 109289635 111211211 156128050 168137900 218579270 222422422 312256100 437158540 444844844 546448175 556056055 778478477 1092896350 1112112110 1445745743 1556956954 2185792700 2224224220 2780280275 2891491486 3113913908 3892392385 5560560550 5782982972 7228728715 7784784770 10120220201 11121121100 14457457430 15569569540 19461961925 20240440402 28914914860 36143643575 38923923850 40480880804 50601101005 72287287150 77847847700 101202202010 144574574300 202404404020 253005505025 506011010050 1012022020100