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1002202230330 = 232573261148781
BaseRepresentation
bin11101001010101111110…
…10000110111000111010
310112210212012022022120100
432211113322012320322
5112410002232332310
62044223315540230
7132256335254430
oct16452772067072
93483765268510
101002202230330
11357039039164
121422975ba676
13736795cb402
1436714b04d50
151b109c73ec0
hexe957e86e3a

1002202230330 has 96 divisors (see below), whose sum is σ = 2978124709248. Its totient is φ = 229063075200.

The previous prime is 1002202230301. The next prime is 1002202230343. The reversal of 1002202230330 is 330322022001.

It is a happy number.

1002202230330 is a `hidden beast` number, since 100 + 2 + 2 + 0 + 2 + 230 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20520540 + ... + 20569320.

It is an arithmetic number, because the mean of its divisors is an integer number (31022132388).

Almost surely, 21002202230330 is an apocalyptic number.

1002202230330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002202230330 is an abundant number, since it is smaller than the sum of its proper divisors (1975922478918).

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

1002202230330 is a wasteful number, since it uses less digits than its factorization.

1002202230330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81412 (or 81409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1002202230330 its reverse (330322022001), we get a palindrome (1332524252331).

The spelling of 1002202230330 in words is "one trillion, two billion, two hundred two million, two hundred thirty thousand, three hundred thirty".

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 32611 48781 65222 97562 97833 146343 163055 195666 228277 243905 292686 293499 326110 341467 439029 456554 487810 489165 586998 682934 684831 731715 878058 978330 1024401 1141385 1369662 1463430 1467495 1707335 2048802 2054493 2195145 2282770 2934990 3073203 3414670 3424155 4108986 4390290 5122005 6146406 6848310 10244010 10272465 15366015 20544930 30732030 1590797191 3181594382 4772391573 7953985955 9544783146 11135580337 14317174719 15907971910 22271160674 23861957865 28634349438 33406741011 47723915730 55677901685 66813482022 71585873595 100220223033 111355803370 143171747190 167033705055 200440446066 334067410110 501101115165 1002202230330