Search a number
-
+
353155055063100 = 2235210734931523539
BaseRepresentation
bin101000001001100010101000…
…1100110111001000000111100
31201022102021220222211110020220
41100103011101212321000330
5332242043023044004400
63251033105333141340
7134246416324566663
oct12023052146710074
91638367828743226
10353155055063100
11a2587243939134
123373799548a850
13122094c02a4824
14632cb1dbdddda
152ac65904c37a0
hex14131519b903c

353155055063100 has 144 divisors (see below), whose sum is σ = 1034299956816000. Its totient is φ = 93027221579520.

The previous prime is 353155055063099. The next prime is 353155055063117. The reversal of 353155055063100 is 1360550551353.

It is a happy number.

It is a super-2 number, since 2×3531550550631002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 4558870 + ... + 26964669.

It is an arithmetic number, because the mean of its divisors is an integer number (7182638589000).

Almost surely, 2353155055063100 is an apocalyptic number.

353155055063100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353155055063100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517149978408000).

353155055063100 is an abundant number, since it is smaller than the sum of its proper divisors (681144901752900).

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

353155055063100 is a wasteful number, since it uses less digits than its factorization.

353155055063100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31524012 (or 31524005 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 42.

The spelling of 353155055063100 in words is "three hundred fifty-three trillion, one hundred fifty-five billion, fifty-five million, sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 349 428 535 642 698 1047 1070 1284 1396 1605 1745 2094 2140 2675 3210 3490 4188 5235 5350 6420 6980 8025 8725 10470 10700 16050 17450 20940 26175 32100 34900 37343 52350 74686 104700 112029 149372 186715 224058 373430 448116 560145 746860 933575 1120290 1867150 2240580 2800725 3734300 5601450 11202900 31523539 63047078 94570617 126094156 157617695 189141234 315235390 378282468 472853085 630470780 788088475 945706170 1576176950 1891412340 2364265425 3152353900 3373018673 4728530850 6746037346 9457061700 10119056019 11001715111 13492074692 16865093365 20238112038 22003430222 33005145333 33730186730 40476224076 44006860444 50595280095 55008575555 66010290666 67460373460 84325466825 101190560190 110017151110 132020581332 165025726665 168650933650 202381120380 220034302220 252976400475 275042877775 330051453330 337301867300 505952800950 550085755550 660102906660 825128633325 1011905601900 1100171511100 1177183516877 1650257266650 2354367033754 3300514533300 3531550550631 4708734067508 5885917584385 7063101101262 11771835168770 14126202202524 17657752753155 23543670337540 29429587921925 35315505506310 58859175843850 70631011012620 88288763765775 117718351687700 176577527531550 353155055063100