Search a number
-
+
102112021211010 = 23529463253499221
BaseRepresentation
bin10111001101111011001110…
…110000000110011110000010
3111101112210222022211111212220
4113031323032300012132002
5101341000404412223020
61001101340455031510
730336231035214246
oct2715731660063602
9441483868744786
10102112021211010
112a599512a11898
12b551bb136b596
1344c9178869c55
141b303690a2426
15bc127c047240
hex5cdecec06782

102112021211010 has 64 divisors (see below), whose sum is σ = 254067060257280. Its totient is φ = 26234127279360.

The previous prime is 102112021210937. The next prime is 102112021211089. The reversal of 102112021211010 is 10112120211201.

It is a happy number.

It is a super-2 number, since 2×1021120212110102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126346801 + ... + 127152420.

It is an arithmetic number, because the mean of its divisors is an integer number (3969797816520).

Almost surely, 2102112021211010 is an apocalyptic number.

102112021211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112021211010 is an abundant number, since it is smaller than the sum of its proper divisors (151955039046270).

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

102112021211010 is a wasteful number, since it uses less digits than its factorization.

102112021211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253499723.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112021211010 its reverse (10112120211201), we get a palindrome (112224141422211).

The spelling of 102112021211010 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 463 870 926 1389 2315 2778 4630 6945 13427 13890 26854 40281 67135 80562 134270 201405 402810 253499221 506998442 760497663 1267496105 1520995326 2534992210 3802488315 7351477409 7604976630 14702954818 22054432227 36757387045 44108864454 73514774090 110272161135 117370139323 220544322270 234740278646 352110417969 586850696615 704220835938 1173701393230 1760552089845 3403734040367 3521104179690 6807468080734 10211202121101 17018670201835 20422404242202 34037340403670 51056010605505 102112021211010