Search a number
-
+
341224233133100 = 2252191276337223151
BaseRepresentation
bin100110110010101110111010…
…1001101000110010000101100
31122202011201101111111102100012
41031211131311031012100230
5324211104212140224400
63205420125413152352
7131605431410502512
oct11545356515062054
91582151344442305
10341224233133100
11997a74259a7209
123232b66132b6b8
13118523cb96b995
1460394aba004b2
15296b05a958d35
hex136577534642c

341224233133100 has 144 divisors (see below), whose sum is σ = 785692699115520. Its totient is φ = 128267048448000.

The previous prime is 341224233133079. The next prime is 341224233133103. The reversal of 341224233133100 is 1331332422143.

It is a super-2 number, since 2×3412242331331002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (341224233133103) 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, 1529006525 + ... + 1529229675.

Almost surely, 2341224233133100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341224233133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392846349557760).

341224233133100 is an abundant number, since it is smaller than the sum of its proper divisors (444468465982420).

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

341224233133100 is a wasteful number, since it uses less digits than its factorization.

341224233133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229648 (or 229641 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 341224233133100 its reverse (1331332422143), we get a palindrome (342555565555243).

The spelling of 341224233133100 in words is "three hundred forty-one trillion, two hundred twenty-four billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 127 190 254 380 475 508 635 950 1270 1900 2413 2540 3175 4826 6337 6350 9652 12065 12674 12700 24130 25348 31685 48260 60325 63370 120403 120650 126740 158425 223151 240806 241300 316850 446302 481612 602015 633700 804799 892604 1115755 1204030 1609598 2231510 2408060 3010075 3219196 4023995 4239869 4463020 5578775 6020150 8047990 8479738 11157550 12040300 15291181 16095980 16959476 20119975 21199345 22315100 28340177 30582362 40239950 42398690 56680354 61164724 76455905 80479900 84797380 105996725 113360708 141700885 152911810 211993450 283401770 305823620 382279525 423986900 538463363 566803540 708504425 764559050 1076926726 1414107887 1417008850 1529118100 2153853452 2692316815 2828215774 2834017700 5384633630 5656431548 7070539435 10769267260 13461584075 14141078870 26868049853 26923168150 28282157740 35352697175 53736099706 53846336300 70705394350 107472199412 134340249265 141410788700 179591701649 268680498530 359183403298 537360997060 671701246325 718366806596 897958508245 1343402492650 1795917016490 2686804985300 3412242331331 3591834032980 4489792541225 6824484662662 8979585082450 13648969325324 17061211656655 17959170164900 34122423313310 68244846626620 85306058283275 170612116566550 341224233133100