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141221313123230 = 251271792296774007
BaseRepresentation
bin100000000111000010100110…
…001101000001001110011110
3200112000121220010100111021002
4200013002212031001032132
5122002232222124420410
61220204101533510302
741513621534404454
oct4007024615011636
9615017803314232
10141221313123230
1140aa769369826a
1213a09778042392
1360a5160754312
1426c32102769d4
15114d7553767a5
hex8070a634139e

141221313123230 has 128 divisors (see below), whose sum is σ = 259203118694400. Its totient is φ = 55391487330816.

The previous prime is 141221313123229. The next prime is 141221313123239. The reversal of 141221313123230 is 32321313122141.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141221313123193 and 141221313123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141221313123239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35243649887 + ... + 35243653893.

It is an arithmetic number, because the mean of its divisors is an integer number (2025024364800).

Almost surely, 2141221313123230 is an apocalyptic number.

141221313123230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141221313123230 is a deficient number, since it is larger than the sum of its proper divisors (117981805571170).

141221313123230 is a wasteful number, since it uses less digits than its factorization.

141221313123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 141221313123230 its reverse (32321313122141), we get a palindrome (173542626245371).

The spelling of 141221313123230 in words is "one hundred forty-one trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 5 10 127 179 229 254 358 458 635 677 895 1145 1270 1354 1790 2290 3385 4007 6770 8014 20035 22733 29083 40070 40991 45466 58166 81982 85979 113665 121183 145415 155033 171958 204955 227330 242366 290830 310066 409910 429895 508889 605915 717253 775165 859790 917603 1017778 1211830 1434506 1550330 1835206 2544445 2712739 3586265 4588015 5088890 5205857 5425478 7172530 9176030 10411714 13563695 15390241 19689191 26029285 27127390 27750907 30780482 39378382 52058570 55501814 76951205 91091131 98445955 116535581 138754535 153902410 164250937 182182262 196891910 233071162 277509070 328501874 344517853 455455655 485580281 582677905 621217231 689035706 821254685 910911310 971160562 1165355810 1242434462 1642509370 1722589265 2427901405 3106086155 3445178530 3524365189 4855802810 6212172310 7048730378 17621825945 20859868999 35243651890 41719737998 61668695687 78894588337 104299344995 111197884349 123337391374 157789176674 208598689990 222395768698 308343478435 394472941685 555989421745 616686956870 788945883370 1111978843490 14122131312323 28244262624646 70610656561615 141221313123230