Search a number
-
+
22002100100010 = 2325643839453157
BaseRepresentation
bin1010000000010110000110…
…10111000101101110101010
32212220101021012000111020200
411000023003113011232222
510340440300111200020
6114443343015333030
74430412360051342
oct500130327055652
985811235014220
1022002100100010
117013046a05068
1225741a2981176
13c37a3496c624
14560c9b9c1d22
152824d23ea590
hex1402c35c5baa

22002100100010 has 96 divisors (see below), whose sum is σ = 57362842293120. Its totient is φ = 5851106769024.

The previous prime is 22002100099997. The next prime is 22002100100023. The reversal of 22002100100010 is 1000100120022.

It is an interprime number because it is at equal distance from previous prime (22002100099997) and next prime (22002100100023).

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 = 22002100099965 and 22002100100001.

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, 48326352 + ... + 48779508.

It is an arithmetic number, because the mean of its divisors is an integer number (597529607220).

Almost surely, 222002100100010 is an apocalyptic number.

22002100100010 is an abundant number, since it is smaller than the sum of its proper divisors (35360742193110).

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

22002100100010 is a wasteful number, since it uses less digits than its factorization.

22002100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454652 (or 454649 counting only the distinct ones).

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

Adding to 22002100100010 its reverse (1000100120022), we get a palindrome (23002200220032).

The spelling of 22002100100010 in words is "twenty-two trillion, two billion, one hundred million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 643 839 1286 1678 1929 2517 3215 3858 4195 5034 5787 6430 7551 8390 9645 11574 12585 15102 19290 25170 28935 37755 57870 75510 453157 539477 906314 1078954 1359471 1618431 2265785 2697385 2718942 3236862 4078413 4531570 4855293 5394770 6797355 8092155 8156826 9710586 13594710 16184310 20392065 24276465 40784130 48552930 291379951 380198723 582759902 760397446 874139853 1140596169 1456899755 1748279706 1900993615 2281192338 2622419559 2913799510 3421788507 3801987230 4370699265 5244839118 5702980845 6843577014 8741398530 11405961690 13112097795 17108942535 26224195590 34217885070 244467778889 488935557778 733403336667 1222338894445 1466806673334 2200210010001 2444677788890 3667016683335 4400420020002 7334033366670 11001050050005 22002100100010