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1002022010010 = 232572161736007
BaseRepresentation
bin11101001010011010010…
…10100111110010011010
310112210101122012011202200
432211031022213302122
5112404120113310020
62044153401111030
7132252016360650
oct16451512476232
93483348164680
101002022010010
11356a56335a4a
12142247188476
137364b17b178
14366d8bd0dd0
151b0e9025590
hexe94d2a7c9a

1002022010010 has 96 divisors (see below), whose sum is σ = 2978818682112. Its totient is φ = 228927306240.

The previous prime is 1002022009997. The next prime is 1002022010023. The reversal of 1002022010010 is 100102202001.

It is an interprime number because it is at equal distance from previous prime (1002022009997) and next prime (1002022010023).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002022009974 and 1002022010001.

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, 993427 + ... + 1729433.

It is an arithmetic number, because the mean of its divisors is an integer number (31029361272).

Almost surely, 21002022010010 is an apocalyptic number.

1002022010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002022010010 is an abundant number, since it is smaller than the sum of its proper divisors (1976796672102).

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

1002022010010 is a wasteful number, since it uses less digits than its factorization.

1002022010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738188 (or 738185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002022010010 its reverse (100102202001), we get a palindrome (1102124212011).

The spelling of 1002022010010 in words is "one trillion, two billion, twenty-two million, ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 2161 4322 6483 10805 12966 15127 19449 21610 30254 32415 38898 45381 64830 75635 90762 97245 136143 151270 194490 226905 272286 453810 680715 736007 1361430 1472014 2208021 3680035 4416042 5152049 6624063 7360070 10304098 11040105 13248126 15456147 22080210 25760245 30912294 33120315 46368441 51520490 66240630 77280735 92736882 154561470 231842205 463684410 1590511127 3181022254 4771533381 7952555635 9543066762 11133577889 14314600143 15905111270 22267155778 23857666905 28629200286 33400733667 47715333810 55667889445 66801467334 71573000715 100202201001 111335778890 143146001430 167003668335 200404402002 334007336670 501011005005 1002022010010