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120102210200210 = 25721719337458889
BaseRepresentation
bin11011010011101101111001…
…100100110110001010010010
3120202020122210112022011220012
4123103231321210312022102
5111220223311302401320
61103234105500114522
734204045505434100
oct3323557144661222
9522218715264805
10120102210200210
11352a5074666457
1211578743235a42
135202788acc794
142192d99864c70
15dd42029244c5
hex6d3b79936292

120102210200210 has 96 divisors (see below), whose sum is σ = 266410009525680. Its totient is φ = 38735616503808.

The previous prime is 120102210200179. The next prime is 120102210200243. The reversal of 120102210200210 is 12002012201021.

It can be written as a sum of positive squares in 8 ways, for example, as 79328966435761 + 40773243764449 = 8906681^2 + 6385393^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 12372446 + ... + 19831334.

Almost surely, 2120102210200210 is an apocalyptic number.

120102210200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120102210200210 is an abundant number, since it is smaller than the sum of its proper divisors (146307799325470).

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

120102210200210 is a wasteful number, since it uses less digits than its factorization.

120102210200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460860 (or 7460853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120102210200210 its reverse (12002012201021), we get a palindrome (132104222401231).

The spelling of 120102210200210 in words is "one hundred twenty trillion, one hundred two billion, two hundred ten million, two hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 1933 3866 4165 8330 9665 13531 19330 27062 32861 65722 67655 94717 135310 164305 189434 230027 328610 460054 473585 947170 1150135 1610189 2300270 3220378 7458889 8050945 14917778 16101890 37294445 52212223 74588890 104424446 126801113 253602226 261061115 365485561 522122230 634005565 730971122 887607791 1268011130 1775215582 1827427805 3654855610 4438038955 6213254537 8876077910 12426509074 14418032437 28836064874 31066272685 62132545370 72090162185 100926227059 144180324370 201852454118 245106551429 490213102858 504631135295 706483589413 1009262270590 1225532757145 1412967178826 1715745860003 2451065514290 3431491720006 3532417947065 7064835894130 8578729300015 12010221020021 17157458600030 24020442040042 60051105100105 120102210200210