Search a number
-
+
102112540524212 = 22174725315798123
BaseRepresentation
bin10111001101111011101101…
…101101000111111010110100
3111101112212022112000100200012
4113031323231231013322310
5101341002440333233322
61001101504205435352
730336246642260021
oct2715735555077264
9441485275010605
10102112540524212
112a59975a06a559
12b55211726bb58
1344c922c32497a
141b303b8044548
15bc12ac927ae2
hex5cdeedb47eb4

102112540524212 has 144 divisors (see below), whose sum is σ = 197116448477760. Its totient is φ = 46108287833088.

The previous prime is 102112540524191. The next prime is 102112540524217. The reversal of 102112540524212 is 212425045211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112540524217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12570787583 + ... + 12570795705.

It is an arithmetic number, because the mean of its divisors is an integer number (1368864225540).

Almost surely, 2102112540524212 is an apocalyptic number.

It is an amenable number.

102112540524212 is a deficient number, since it is larger than the sum of its proper divisors (95003907953548).

102112540524212 is a wasteful number, since it uses less digits than its factorization.

102112540524212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 102112540524212 its reverse (212425045211201), we get a palindrome (314537585735413).

The spelling of 102112540524212 in words is "one hundred two trillion, one hundred twelve billion, five hundred forty million, five hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 4 17 34 47 53 68 94 106 188 212 799 901 1579 1598 1802 2209 2491 3158 3196 3604 4418 4982 6316 8123 8836 9964 16246 26843 32492 37553 42347 53686 74213 75106 83687 84694 107372 117077 138091 148426 150212 167374 169388 234154 276182 296852 334748 381781 430519 468308 552364 763562 861038 1261621 1422679 1527124 1722076 1990309 2523242 2845358 3488011 3933289 3980618 5046484 5690716 6490277 6976022 7318823 7866578 7961236 12826217 12980554 13952044 14637646 15733156 17943707 20234393 25652434 25961108 29275292 35887414 40468786 51304868 59296187 66865913 71774828 80937572 118592374 133731826 184864583 218045689 237184748 267463652 305043019 343984681 369729166 436091378 602832199 610086038 679789501 687969362 739458332 872182756 951016471 1205664398 1220172076 1359579002 1375938724 1902032942 2411328796 2719158004 3142697911 3804065884 6285395822 10248147383 11556421517 12570791644 16167280007 20496294766 23112843034 28333113353 31950106547 32334560014 40992589532 46225686068 56666226706 63900213094 64669120028 113332453412 127800426188 481662927001 543151811299 963325854002 1086303622598 1501655007709 1926651708004 2172607245196 3003310015418 6006620030836 25528135131053 51056270262106 102112540524212