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1022010221100 = 22352111718217651
BaseRepresentation
bin11101101111101001000…
…11100110001000101100
310121200222122112111200010
432313310203212020230
5113221034104033400
62101301025533220
7133560236354601
oct16676443461054
93550878474603
101022010221100
11364483142870
121460a51a4210
13754b5288bcb
14376736c86a8
151b8b8c13450
hexedf48e622c

1022010221100 has 144 divisors (see below), whose sum is σ = 3415591138176. Its totient is φ = 233185920000.

The previous prime is 1022010221081. The next prime is 1022010221129. The reversal of 1022010221100 is 11220102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9052726 + ... + 9164925.

It is an arithmetic number, because the mean of its divisors is an integer number (23719382904).

Almost surely, 21022010221100 is an apocalyptic number.

1022010221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010221100 is an abundant number, since it is smaller than the sum of its proper divisors (2393580917076).

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

1022010221100 is a wasteful number, since it uses less digits than its factorization.

1022010221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18217696 (or 18217689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022010221100 its reverse (11220102201), we get a palindrome (1033230323301).

The spelling of 1022010221100 in words is "one trillion, twenty-two billion, ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 18217651 36435302 54652953 72870604 91088255 109305906 182176510 200394161 218611812 273264765 309700067 364353020 400788322 455441275 546529530 601182483 619400134 801576644 910882550 929100201 1001970805 1093059060 1202364966 1238800268 1366323825 1548500335 1821765100 1858200402 2003941610 2404729932 2732647650 3005912415 3097000670 3406700737 3716400804 4007883220 4645501005 5009854025 5465295300 6011824830 6194001340 6813401474 7742501675 9291002010 10019708050 10220102211 12023649660 13626802948 15029562075 15485003350 17033503685 18582004020 20039416100 20440204422 23227505025 30059124150 30970006700 34067007370 40880408844 46455010050 51100511055 60118248300 68134014740 85167518425 92910020100 102201022110 170335036850 204402044220 255502555275 340670073700 511005110550 1022010221100