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1030310102232 = 2333107389114599
BaseRepresentation
bin11101111111000110100…
…01001000010011011000
310122111102002020011011000
432333203101020103120
5113340033341232412
62105152401105000
7134303021241015
oct16774321102330
93574362204130
101030310102232
11367a52213364
12147820928160
1376208987988
1437c1db3470c
151bc026e74dc
hexefe34484d8

1030310102232 has 128 divisors (see below), whose sum is σ = 2896171200000. Its totient is φ = 339349431168.

The previous prime is 1030310102191. The next prime is 1030310102233. The reversal of 1030310102232 is 2322010130301.

1030310102232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10303101022322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030310102233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8933269 + ... + 9047867.

It is an arithmetic number, because the mean of its divisors is an integer number (22626337500).

Almost surely, 21030310102232 is an apocalyptic number.

1030310102232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030310102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448085600000).

1030310102232 is an abundant number, since it is smaller than the sum of its proper divisors (1865861097768).

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

1030310102232 is a wasteful number, since it uses less digits than its factorization.

1030310102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115110 (or 115100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030310102232 its reverse (2322010130301), we get a palindrome (3352320232533).

The spelling of 1030310102232 in words is "one trillion, thirty billion, three hundred ten million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 389 428 642 778 856 963 1167 1284 1556 1926 2334 2568 2889 3112 3501 3852 4668 5778 7002 7704 9336 10503 11556 14004 21006 23112 28008 41623 42012 83246 84024 114599 124869 166492 229198 249738 332984 343797 374607 458396 499476 687594 749214 916792 998952 1031391 1123821 1375188 1498428 2062782 2247642 2750376 2996856 3094173 4125564 4495284 6188346 8251128 8990568 12262093 12376692 24524186 24753384 36786279 44579011 49048372 73572558 89158022 98096744 110358837 133737033 147145116 178316044 220717674 267474066 294290232 331076511 356632088 401211099 441435348 534948132 662153022 802422198 882870696 1069896264 1203633297 1324306044 1604844396 2407266594 2648612088 3209688792 4769954177 4814533188 9539908354 9629066376 14309862531 19079816708 28619725062 38159633416 42929587593 57239450124 85859175186 114478900248 128788762779 171718350372 257577525558 343436700744 515155051116 1030310102232