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1012000102200 = 233252698380513
BaseRepresentation
bin11101011100111111110…
…10000001011100111000
310120202011000201210000200
432232133322001130320
5113040034011232300
62052523442202200
7133054206636513
oct16563772013470
93522130653020
101012000102200
1136020674732a
12144170953360
137457b467a29
1436da408dd7a
151b4d0007200
hexeb9fe81738

1012000102200 has 144 divisors (see below), whose sum is σ = 3399162595920. Its totient is φ = 269824696320.

The previous prime is 1012000102159. The next prime is 1012000102207. The reversal of 1012000102200 is 22010002101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000102207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12529144 + ... + 12609656.

It is an arithmetic number, because the mean of its divisors is an integer number (23605295805).

Almost surely, 21012000102200 is an apocalyptic number.

1012000102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012000102200 is an abundant number, since it is smaller than the sum of its proper divisors (2387162493720).

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

1012000102200 is a wasteful number, since it uses less digits than its factorization.

1012000102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87518 (or 87506 counting only the distinct ones).

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

Adding to 1012000102200 its reverse (22010002101), we get a palindrome (1034010104301).

The spelling of 1012000102200 in words is "one trillion, twelve billion, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6983 13966 20949 27932 34915 41898 55864 62847 69830 80513 83796 104745 125694 139660 161026 167592 174575 209490 241539 251388 279320 314235 322052 349150 402565 418980 483078 502776 523725 628470 644104 698300 724617 805130 837960 966156 1047450 1207695 1256940 1396600 1449234 1571175 1610260 1932312 2012825 2094900 2415390 2513880 2898468 3142350 3220520 3623085 4025650 4189800 4830780 5796936 6038475 6284700 7246170 8051300 9661560 12076950 12569400 14492340 16102600 18115425 24153900 28984680 36230850 48307800 72461700 144923400 562222279 1124444558 1686666837 2248889116 2811111395 3373333674 4497778232 5060000511 5622222790 6746667348 8433334185 10120001022 11244445580 13493334696 14055556975 16866668370 20240002044 22488891160 25300002555 28111113950 33733336740 40480004088 42166670925 50600005110 56222227900 67466673480 84333341850 101200010220 112444455800 126500012775 168666683700 202400020440 253000025550 337333367400 506000051100 1012000102200