Search a number
-
+
122700047364 = 2232232931164837
BaseRepresentation
bin111001001000101111…
…1100010010000000100
3102201201011210020011200
41302101133202100010
54002242203003424
6132211223502500
711602423123416
oct1622137422004
9381634706150
10122700047364
1148044a83724
121b943bb7a30
13b7556b952b
145d1db8c9b6
1532d20498c9
hex1c917e2404

122700047364 has 144 divisors (see below), whose sum is σ = 345605944320. Its totient is φ = 36554031360.

The previous prime is 122700047357. The next prime is 122700047411. The reversal of 122700047364 is 463740007221.

122700047364 is a `hidden beast` number, since 122 + 7 + 0 + 0 + 0 + 473 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 661954 + ... + 826790.

It is an arithmetic number, because the mean of its divisors is an integer number (2400041280).

Almost surely, 2122700047364 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 122700047364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172802972160).

122700047364 is an abundant number, since it is smaller than the sum of its proper divisors (222905896956).

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

122700047364 is a wasteful number, since it uses less digits than its factorization.

122700047364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164930 (or 164925 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 122700047364 in words is "one hundred twenty-two billion, seven hundred million, forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 31 36 46 58 62 69 87 92 93 116 124 138 174 186 207 261 276 279 348 372 414 522 558 667 713 828 899 1044 1116 1334 1426 1798 2001 2139 2668 2697 2852 3596 4002 4278 5394 6003 6417 8004 8091 8556 10788 12006 12834 16182 20677 24012 25668 32364 41354 62031 82708 124062 164837 186093 248124 329674 372186 494511 659348 744372 989022 1483533 1978044 2967066 3791251 4780273 5109947 5934132 7582502 9560546 10219894 11373753 14340819 15165004 15329841 19121092 20439788 22747506 28681638 30659682 34121259 43022457 45495012 45989523 57363276 61319364 68242518 86044914 91979046 109946279 117528781 136485036 148188463 172089828 183958092 219892558 235057562 296376926 329838837 352586343 439785116 444565389 470115124 592753852 659677674 705172686 889130778 989516511 1057759029 1319355348 1333696167 1410345372 1778261556 1979033022 2115518058 2667392334 3408334649 3958066044 4231036116 5334784668 6816669298 10225003947 13633338596 20450007894 30675011841 40900015788 61350023682 122700047364