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1000212200100 = 223352675529089
BaseRepresentation
bin11101000111000010100…
…10101111101010100100
310112121201111201022022000
432203201102233222210
5112341413310400400
62043254030405300
7132156122265141
oct16434122575244
93477644638260
101000212200100
11356207790a83
12141a21060830
1373420234c29
14365a66c33c8
151b0401d0600
hexe8e14afaa4

1000212200100 has 144 divisors (see below), whose sum is σ = 3263490081600. Its totient is φ = 262742261760.

The previous prime is 1000212200083. The next prime is 1000212200131. The reversal of 1000212200100 is 10022120001.

1000212200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2583645 + ... + 2945444.

Almost surely, 21000212200100 is an apocalyptic number.

1000212200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212200100 is an abundant number, since it is smaller than the sum of its proper divisors (2263277881500).

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

1000212200100 is a wasteful number, since it uses less digits than its factorization.

1000212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529179 (or 5529166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000212200100 its reverse (10022120001), we get a palindrome (1010234320101).

The spelling of 1000212200100 in words is "one trillion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 540 603 670 675 804 900 1005 1206 1340 1350 1675 1809 2010 2412 2700 3015 3350 3618 4020 5025 6030 6700 7236 9045 10050 12060 15075 18090 20100 30150 36180 45225 60300 90450 180900 5529089 11058178 16587267 22116356 27645445 33174534 49761801 55290890 66349068 82936335 99523602 110581780 138227225 149285403 165872670 199047204 248809005 276454450 298570806 331745340 370448963 414681675 497618010 552908900 597141612 740897926 746427015 829363350 995236020 1111346889 1244045025 1481795852 1492854030 1658726700 1852244815 2222693778 2488090050 2985708060 3334040667 3704489630 3732135075 4445387556 4976180100 5556734445 6668081334 7408979260 7464270150 9261224075 10002122001 11113468890 13336162668 14928540300 16670203335 18522448150 20004244002 22226937780 27783672225 33340406670 37044896300 40008488004 50010610005 55567344450 66680813340 83351016675 100021220010 111134688900 166702033350 200042440020 250053050025 333404066700 500106100050 1000212200100