Search a number
-
+
10334032122132 = 223210985911532659
BaseRepresentation
bin1001011001100001010001…
…0100000101000100010100
31100120220221110121012200100
42112120110110011010110
52323303044210402012
633551215552414100
72114415643466625
oct226302424050424
940526843535610
1010334032122132
1133247027a8394
1211aa97a547330
1359c6588097b4
1427a253dd1a4c
1512dc2a1e88dc
hex96614505114

10334032122132 has 144 divisors (see below), whose sum is σ = 26425302904000. Its totient is φ = 3404863807488.

The previous prime is 10334032122121. The next prime is 10334032122137. The reversal of 10334032122132 is 23122123043301.

10334032122132 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 403 + 2 + 1 + 221 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10334032122096 and 10334032122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334032122137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886434219 + ... + 3886436877.

Almost surely, 210334032122132 is an apocalyptic number.

10334032122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10334032122132 is an abundant number, since it is smaller than the sum of its proper divisors (16091270781868).

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

10334032122132 is a wasteful number, since it uses less digits than its factorization.

10334032122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10334032122132 its reverse (23122123043301), we get a palindrome (33456155165433).

The spelling of 10334032122132 in words is "ten trillion, three hundred thirty-four billion, thirty-two million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 859 981 1153 1308 1718 1962 2306 2577 2659 3436 3459 3924 4612 5154 5318 6918 7731 7977 10308 10377 10636 13836 15462 15954 20754 23931 30924 31908 41508 47862 93631 95724 125677 187262 251354 280893 289831 374524 377031 502708 561786 579662 754062 842679 869493 990427 1123572 1131093 1159324 1508124 1685358 1738986 1980854 2262186 2284081 2608479 2971281 3065827 3370716 3477972 3961708 4524372 4568162 5216958 5942562 6131654 6852243 8913843 9136324 9197481 10433916 11885124 12263308 13704486 17827686 18394962 20556729 27408972 27592443 35655372 36789924 41113458 55184886 82226916 107956543 110369772 215913086 248964829 323869629 334175143 431826172 497929658 647739258 668350286 746894487 971608887 995859316 1002525429 1295478516 1336700572 1493788974 1943217774 2005050858 2240683461 2633545393 2987577948 3007576287 3886435548 4010101716 4481366922 5267090786 6015152574 7900636179 8962733844 10534181572 12030305148 15801272358 23701908537 31602544716 47403817074 94807634148 287056447837 574112895674 861169343511 1148225791348 1722338687022 2583508030533 3444677374044 5167016061066 10334032122132