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1000020012200 = 2352112172430773
BaseRepresentation
bin11101000110101011101…
…01100110110010101000
310112121020010002011001122
432203111311212302220
5112341020110342300
62043223003234412
7132151266565436
oct16432565466250
93477203064048
101000020012200
11356119254400
12141988818a08
13733bc484691
1436588d75d56
151b02d3bac85
hexe8d5d66ca8

1000020012200 has 144 divisors (see below), whose sum is σ = 2705961924540. Its totient is φ = 342252697600.

The previous prime is 1000020012197. The next prime is 1000020012227. The reversal of 1000020012200 is 22100200001.

It can be written as a sum of positive squares in 6 ways, for example, as 360112808836 + 639907203364 = 600094^2 + 799942^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 803987 + ... + 1626786.

Almost surely, 21000020012200 is an apocalyptic number.

1000020012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000020012200 is an abundant number, since it is smaller than the sum of its proper divisors (1705941912340).

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

1000020012200 is a wasteful number, since it uses less digits than its factorization.

1000020012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430828 (or 2430808 counting only the distinct ones).

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

Adding to 1000020012200 its reverse (22100200001), we get a palindrome (1022120212201).

The spelling of 1000020012200 in words is "one trillion, twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 121 136 170 187 200 220 242 275 340 374 425 440 484 550 605 680 748 850 935 968 1100 1210 1496 1700 1870 2057 2200 2420 3025 3400 3740 4114 4675 4840 6050 7480 8228 9350 10285 12100 16456 18700 20570 24200 37400 41140 51425 82280 102850 205700 411400 2430773 4861546 9723092 12153865 19446184 24307730 26738503 41323141 48615460 53477006 60769325 82646282 97230920 106954012 121538650 133692515 165292564 206615705 213908024 243077300 267385030 294123533 330585128 413231410 454554551 486154600 534770060 588247066 668462575 826462820 909109102 1033078525 1069540120 1176494132 1336925150 1470617665 1652925640 1818218204 2066157050 2272772755 2352988264 2673850300 2941235330 3636436408 4132314100 4545545510 5000100061 5347700600 5882470660 7353088325 8264628200 9091091020 10000200122 11363863775 11764941320 14706176650 18182182040 20000400244 22727727550 25000500305 29412353300 40000800488 45455455100 50001000610 58824706600 90910910200 100002001220 125002501525 200004002440 250005003050 500010006100 1000020012200