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1022022200100 = 2235211557556021
BaseRepresentation
bin11101101111101010100…
…01010010101100100100
310121201000111002002202210
432313311101102230210
5113221100140400400
62101302134403420
7133560443236026
oct16676521225444
93551014062683
101022022200100
11364489984870
121460a9200570
13754b78c1485
1437675126016
151b8b9ccc950
hexedf5452b24

1022022200100 has 144 divisors (see below), whose sum is σ = 3231671034816. Its totient is φ = 247317696000.

The previous prime is 1022022200027. The next prime is 1022022200179. The reversal of 1022022200100 is 10022202201.

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, 1560090 + ... + 2116110.

It is an arithmetic number, because the mean of its divisors is an integer number (22442159964).

Almost surely, 21022022200100 is an apocalyptic number.

1022022200100 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 1022022200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615835517408).

1022022200100 is an abundant number, since it is smaller than the sum of its proper divisors (2209648834716).

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

1022022200100 is a wasteful number, since it uses less digits than its factorization.

1022022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556606 (or 556599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022022200100 its reverse (10022202201), we get a palindrome (1032044402301).

The spelling of 1022022200100 in words is "one trillion, twenty-two billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 557 660 825 1100 1114 1650 1671 2228 2785 3300 3342 5570 6127 6684 8355 11140 12254 13925 16710 18381 24508 27850 30635 33420 36762 41775 55700 61270 73524 83550 91905 122540 153175 167100 183810 306350 367620 459525 556021 612700 919050 1112042 1668063 1838100 2224084 2780105 3336126 5560210 6116231 6672252 8340315 11120420 12232462 13900525 16680630 18348693 24464924 27801050 30581155 33361260 36697386 41701575 55602100 61162310 73394772 83403150 91743465 122324620 152905775 166806300 183486930 305811550 309703697 366973860 458717325 611623100 619407394 917434650 929111091 1238814788 1548518485 1834869300 1858222182 3097036970 3406740667 3716444364 4645555455 6194073940 6813481334 7742592425 9291110910 10220222001 13626962668 15485184850 17033703335 18582221820 20440444002 23227777275 30970369700 34067406670 40880888004 46455554550 51101110005 68134813340 85168516675 92911109100 102202220010 170337033350 204404440020 255505550025 340674066700 511011100050 1022022200100