Search a number
-
+
101344230313104 = 24319375716678669
BaseRepresentation
bin10111000010110000001010…
…110110010000110010010000
3111021211102011122210200122110
4113002300022312100302100
5101240410440430004404
6555312521403305320
730226610334240042
oct2702601266206220
9437742148720573
10101344230313104
112a322934a78239
12b44923581b240
134471948852c8c
141b05130711a92
15bab2e1797b89
hex5c2c0ad90c90

101344230313104 has 160 divisors (see below), whose sum is σ = 263698563818880. Its totient is φ = 33537980399616.

The previous prime is 101344230313063. The next prime is 101344230313111. The reversal of 101344230313104 is 401313032443101.

It is a super-2 number, since 2×1013442303131042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11690413282 + ... + 11690421950.

It is an arithmetic number, because the mean of its divisors is an integer number (1648116023868).

Almost surely, 2101344230313104 is an apocalyptic number.

It is an amenable number.

101344230313104 is an abundant number, since it is smaller than the sum of its proper divisors (162354333505776).

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

101344230313104 is a wasteful number, since it uses less digits than its factorization.

101344230313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 101344230313104 its reverse (401313032443101), we get a palindrome (502657262756205).

The spelling of 101344230313104 in words is "one hundred one trillion, three hundred forty-four billion, two hundred thirty million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 193 386 579 757 772 1158 1514 1544 1667 2271 2316 3028 3088 3334 4542 4632 5001 6056 6668 8669 9084 9264 10002 12112 13336 17338 18168 20004 26007 26672 34676 36336 40008 52014 69352 80016 104028 138704 146101 208056 292202 321731 416112 438303 584404 643462 876606 965193 1168808 1261919 1286924 1673117 1753212 1930386 2337616 2523838 2573848 3346234 3506424 3785757 3860772 5019351 5047676 5147696 6562433 6692468 7012848 7571514 7721544 10038702 10095352 13124866 13384936 14451223 15143028 15443088 19687299 20077404 20190704 26249732 26769872 28902446 30286056 39374598 40154808 43353669 52499464 57804892 60572112 78749196 80309616 86707338 104998928 115609784 157498392 173414676 231219568 243550367 314996784 346829352 487100734 693658704 730651101 974201468 1266549569 1461302202 1948402936 2533099138 2789086039 2922604404 3799648707 3896805872 5066198276 5578172078 5845208808 7599297414 8367258117 10132396552 10939575811 11156344156 11690417616 15198594828 16734516234 20264793104 21879151622 22312688312 30397189656 32818727433 33469032468 43758303244 44625376624 60794379312 65637454866 66938064936 87516606488 131274909732 133876129872 175033212976 262549819464 525099638928 2111338131523 4222676263046 6334014394569 8445352526092 12668028789138 16890705052184 25336057578276 33781410104368 50672115156552 101344230313104