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101110031010 = 232543214112203
BaseRepresentation
bin101111000101010100…
…0001010001010100010
3100122222112100202112100
41132022220022022202
53124033131443020
6114241014511230
710206413040342
oct1361250121242
9318875322470
10101110031010
1139975a818aa
1217719665516
1396c4793121
144c72650d22
15296b902a90
hex178aa0a2a2

101110031010 has 96 divisors (see below), whose sum is σ = 269147406528. Its totient is φ = 26321178240.

The previous prime is 101110030999. The next prime is 101110031041. The reversal of 101110031010 is 10130011101.

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 = 101110030983 and 101110031001.

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, 8279569 + ... + 8291771.

It is an arithmetic number, because the mean of its divisors is an integer number (2803618818).

Almost surely, 2101110031010 is an apocalyptic number.

101110031010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134573703264).

101110031010 is an abundant number, since it is smaller than the sum of its proper divisors (168037375518).

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

101110031010 is a wasteful number, since it uses less digits than its factorization.

101110031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101110031010 its reverse (10130011101), we get a palindrome (111240042111).

The spelling of 101110031010 in words is "one hundred one billion, one hundred ten million, thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2141 3870 4282 6423 10705 12203 12846 19269 21410 24406 32115 36609 38538 61015 64230 73218 92063 96345 109827 122030 183045 184126 192690 219654 276189 366090 460315 524729 549135 552378 828567 920630 1049458 1098270 1380945 1574187 1657134 2623645 2761890 3148374 4142835 4722561 5247290 7870935 8285670 9445122 15741870 23612805 26126623 47225610 52253246 78379869 130633115 156759738 235139607 261266230 391899345 470279214 783798690 1123444789 1175698035 2246889578 2351396070 3370334367 5617223945 6740668734 10111003101 11234447890 16851671835 20222006202 33703343670 50555015505 101110031010