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1022100110010 = 23357737408133
BaseRepresentation
bin11101101111110011110…
…10011111101010111010
310121201012220200100002000
432313321322133222322
5113221230112010020
62101314000321430
7133562410405440
oct16677172375272
93551186610060
101022100110010
11364519958721
1214610b313276
13754caa9c405
1437681606b90
151b8c1a6c090
hexedf9e9faba

1022100110010 has 128 divisors (see below), whose sum is σ = 3157643036160. Its totient is φ = 230422537728.

The previous prime is 1022100109981. The next prime is 1022100110029. The reversal of 1022100110010 is 100110012201.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022100109974 and 1022100110001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566097 + ... + 3842036.

It is an arithmetic number, because the mean of its divisors is an integer number (24669086220).

Almost surely, 21022100110010 is an apocalyptic number.

1022100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022100110010 is an abundant number, since it is smaller than the sum of its proper divisors (2135542926150).

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

1022100110010 is a wasteful number, since it uses less digits than its factorization.

1022100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408229 (or 7408223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1022100110010 its reverse (100110012201), we get a palindrome (1122210122211).

The spelling of 1022100110010 in words is "one trillion, twenty-two billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 90 105 126 135 146 189 210 219 270 315 365 378 438 511 630 657 730 945 1022 1095 1314 1533 1890 1971 2190 2555 3066 3285 3942 4599 5110 6570 7665 9198 9855 13797 15330 19710 22995 27594 45990 68985 137970 7408133 14816266 22224399 37040665 44448798 51856931 66673197 74081330 103713862 111121995 133346394 155570793 200019591 222243990 259284655 311141586 333365985 400039182 466712379 518569310 540793709 666731970 777853965 933424758 1000097955 1081587418 1400137137 1555707930 1622381127 2000195910 2333561895 2703968545 2800274274 3244762254 3785555963 4667123790 4867143381 5407937090 7000685685 7571111926 8111905635 9734286762 11356667889 14001371370 14601430143 16223811270 18927779815 22713335778 24335716905 29202860286 34070003667 37855559630 48671433810 56783339445 68140007334 73007150715 102210011001 113566678890 146014301430 170350018335 204420022002 340700036670 511050055005 1022100110010