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101032314210 = 23253144980651
BaseRepresentation
bin101111000010111111…
…1101100010101100010
3100122210010010100010100
41132011333230111202
53123403233023320
6114225201043230
710204450333632
oct1360577542542
9318703110110
10101032314210
1139936120043
12176b7626516
1396b1652059
144c661c06c2
152964ba0790
hex1785fec562

101032314210 has 96 divisors (see below), whose sum is σ = 271764979200. Its totient is φ = 26014464000.

The previous prime is 101032314209. The next prime is 101032314223. The reversal of 101032314210 is 12413230101.

101032314210 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 231 + 421 + 0 = 666.

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

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, 1212385 + ... + 1293035.

It is an arithmetic number, because the mean of its divisors is an integer number (2830885200).

Almost surely, 2101032314210 is an apocalyptic number.

101032314210 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 101032314210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135882489600).

101032314210 is an abundant number, since it is smaller than the sum of its proper divisors (170732664990).

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

101032314210 is a wasteful number, since it uses less digits than its factorization.

101032314210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81144 (or 81141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101032314210 its reverse (12413230101), we get a palindrome (113445544311).

The spelling of 101032314210 in words is "one hundred one billion, thirty-two million, three hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 449 465 558 898 930 1347 1395 2245 2694 2790 4041 4490 6735 8082 13470 13919 20205 27838 40410 41757 69595 80651 83514 125271 139190 161302 208785 241953 250542 403255 417570 483906 626355 725859 806510 1209765 1252710 1451718 2419530 2500181 3629295 5000362 7258590 7500543 12500905 15001086 22501629 25001810 36212299 37502715 45003258 72424598 75005430 108636897 112508145 181061495 217273794 225016290 325910691 362122990 543184485 651821382 1086368970 1122581269 1629553455 2245162538 3259106910 3367743807 5612906345 6735487614 10103231421 11225812690 16838719035 20206462842 33677438070 50516157105 101032314210