Search a number
-
+
122351034204 = 223271933617603
BaseRepresentation
bin111000111110010110…
…0001001111101011100
3102200210212001112010100
41301330230021331130
54001033331043304
6132112435141100
711560654426350
oct1617454117534
9380725045110
10122351034204
1147985a729a3
121b867144790
13b6cb2ba579
145cc969b460
1532b15a8439
hex1c7cb09f5c

122351034204 has 144 divisors (see below), whose sum is σ = 372221274880. Its totient is φ = 33103365120.

The previous prime is 122351034137. The next prime is 122351034229. The reversal of 122351034204 is 402430153221.

122351034204 is a `hidden beast` number, since 1 + 2 + 235 + 1 + 0 + 3 + 420 + 4 = 666.

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, 16088667 + ... + 16096269.

Almost surely, 2122351034204 is an apocalyptic number.

122351034204 is a gapful number since it is divisible by the number (14) 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 122351034204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186110637440).

122351034204 is an abundant number, since it is smaller than the sum of its proper divisors (249870240676).

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

122351034204 is a wasteful number, since it uses less digits than its factorization.

122351034204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 122351034204 its reverse (402430153221), we get a palindrome (524781187425).

The spelling of 122351034204 in words is "one hundred twenty-two billion, three hundred fifty-one million, thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 3361 4788 6722 7603 10083 13444 15206 20166 22809 23527 30249 30412 40332 45618 47054 53221 60498 63859 68427 70581 91236 94108 106442 120996 127718 136854 141162 144457 159663 191577 211743 212884 255436 273708 282324 288914 319326 383154 423486 433371 447013 478989 574731 577828 638652 766308 846972 866742 894026 957978 1011199 1149462 1300113 1341039 1733484 1788052 1915956 2022398 2298924 2600226 2682078 3033597 4023117 4044796 5200452 5364156 6067194 8046234 9100791 12134388 16092468 18201582 25553683 36403164 51107366 76661049 102214732 153322098 178875781 229983147 306644196 357751562 459966294 485519977 536627343 715503124 919932588 971039954 1073254686 1456559931 1609882029 1942079908 2146509372 2913119862 3219764058 3398639839 4369679793 5826239724 6439528116 6797279678 8739359586 10195919517 13594559356 17478719172 20391839034 30587758551 40783678068 61175517102 122351034204