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1022022122100 = 2235271297375233
BaseRepresentation
bin11101101111101010100…
…00111111101001110100
310121201000110221010202220
432313311100333221310
5113221100130401400
62101302133002340
7133560442462440
oct16676520775164
93551013833686
101022022122100
11364489931201
121460a91833b0
13754b7894b15
1437675105820
151b8b9cb47a0
hexedf543fa74

1022022122100 has 144 divisors (see below), whose sum is σ = 3382101115008. Its totient is φ = 233424322560.

The previous prime is 1022022122083. The next prime is 1022022122131. The reversal of 1022022122100 is 12212202201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022022122100.

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, 2536084 + ... + 2911316.

Almost surely, 21022022122100 is an apocalyptic number.

1022022122100 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 1022022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691050557504).

1022022122100 is an abundant number, since it is smaller than the sum of its proper divisors (2360078992908).

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

1022022122100 is a wasteful number, since it uses less digits than its factorization.

1022022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376554 (or 376547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1022022122100 its reverse (12212202201), we get a palindrome (1034234324301).

The spelling of 1022022122100 in words is "one trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1297 2100 2594 3891 5188 6485 7782 9079 12970 15564 18158 19455 25940 27237 32425 36316 38910 45395 54474 64850 77820 90790 97275 108948 129700 136185 181580 194550 226975 272370 375233 389100 453950 544740 680925 750466 907900 1125699 1361850 1500932 1876165 2251398 2626631 2723700 3752330 4502796 5253262 5628495 7504660 7879893 9380825 10506524 11256990 13133155 15759786 18761650 22513980 26266310 28142475 31519572 37523300 39399465 52532620 56284950 65665775 78798930 112569900 131331550 157597860 196997325 262663100 393994650 486677201 787989300 973354402 1460031603 1946708804 2433386005 2920063206 3406740407 4866772010 5840126412 6813480814 7300158015 9733544020 10220221221 12166930025 13626961628 14600316030 17033702035 20440442442 24333860050 29200632060 34067404070 36500790075 40880884884 48667720100 51101106105 68134808140 73001580150 85168510175 102202212210 146003160300 170337020350 204404424420 255505530525 340674040700 511011061050 1022022122100