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1012022202100 = 2252713673165247
BaseRepresentation
bin11101011101000010011…
…10010100111011110100
310120202012120022120101111
432232201032110323310
5113040110140431400
62052525552004404
7133054565532640
oct16564116247364
93522176276344
101012022202100
11360218171308
12144178230704
1374582c04bb0
1436da6da3c20
151b4d1e203ba
hexeba1394ef4

1012022202100 has 144 divisors (see below), whose sum is σ = 2706910302208. Its totient is φ = 319810498560.

The previous prime is 1012022202089. The next prime is 1012022202127. The reversal of 1012022202100 is 12022202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 6041677 + ... + 6206923.

Almost surely, 21012022202100 is an apocalyptic number.

1012022202100 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 1012022202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353455151104).

1012022202100 is an abundant number, since it is smaller than the sum of its proper divisors (1694888100108).

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

1012022202100 is a wasteful number, since it uses less digits than its factorization.

1012022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165954 (or 165947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012022202100 its reverse (12022202101), we get a palindrome (1024044404201).

Subtracting from 1012022202100 its reverse (12022202101), we obtain a palindrome (999999999999).

The spelling of 1012022202100 in words is "one trillion, twelve billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 673 700 910 1300 1346 1820 2275 2692 3365 4550 4711 6730 8749 9100 9422 13460 16825 17498 18844 23555 33650 34996 43745 47110 61243 67300 87490 94220 117775 122486 165247 174980 218725 235550 244972 306215 330494 437450 471100 612430 660988 826235 874900 1156729 1224860 1531075 1652470 2148211 2313458 3062150 3304940 4131175 4296422 4626916 5783645 6124300 8262350 8592844 10741055 11567290 15037477 16524700 21482110 23134580 28918225 30074954 42964220 53705275 57836450 60149908 75187385 107410550 111211231 115672900 150374770 214821100 222422462 300749540 375936925 444844924 556056155 751873850 778478617 1112112310 1445746003 1503747700 1556957234 2224224620 2780280775 2891492006 3113914468 3892393085 5560561550 5782984012 7228730015 7784786170 10120222021 11121123100 14457460030 15569572340 19461965425 20240444042 28914920060 36143650075 38923930850 40480888084 50601110105 72287300150 77847861700 101202220210 144574600300 202404440420 253005550525 506011101050 1012022202100