Search a number
-
+
34121100520 = 235131727114243
BaseRepresentation
bin11111110001110001…
…101010110011101000
310021001221212111111201
4133301301222303220
51024340000204040
623401445333544
72315360366113
oct376161526350
9107057774451
1034121100520
111351a520931
1267431072b4
1332aa107610
1419198c357a
15d4a820a9a
hex7f1c6ace8

34121100520 has 128 divisors (see below), whose sum is σ = 87870666240. Its totient is φ = 11812884480.

The previous prime is 34121100493. The next prime is 34121100527. The reversal of 34121100520 is 2500112143.

It is not an unprimeable number, because it can be changed into a prime (34121100527) 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, 2388519 + ... + 2402761.

It is an arithmetic number, because the mean of its divisors is an integer number (686489580).

Almost surely, 234121100520 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 34121100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935333120).

34121100520 is an abundant number, since it is smaller than the sum of its proper divisors (53749565720).

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

34121100520 is a wasteful number, since it uses less digits than its factorization.

34121100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 34121100520 its reverse (2500112143), we get a palindrome (36621212663).

The spelling of 34121100520 in words is "thirty-four billion, one hundred twenty-one million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 271 340 442 520 542 680 884 1084 1105 1355 1768 2168 2210 2710 3523 4420 4607 5420 7046 8840 9214 10840 14092 14243 17615 18428 23035 28184 28486 35230 36856 46070 56972 59891 70460 71215 92140 113944 119782 140920 142430 184280 185159 239564 242131 284860 299455 370318 479128 484262 569720 598910 740636 925795 968524 1197820 1210655 1481272 1851590 1937048 2395640 2421310 3147703 3703180 3859853 4842620 6295406 7406360 7719706 9685240 12590812 15439412 15738515 19299265 25181624 30878824 31477030 38598530 50178089 62954060 65617501 77197060 100356178 125908120 131235002 154394120 200712356 250890445 262470004 328087505 401424712 501780890 524940008 656175010 853027513 1003561780 1312350020 1706055026 2007123560 2624700040 3412110052 4265137565 6824220104 8530275130 17060550260 34121100520