Search a number
-
+
10120212301332 = 2237672717966161
BaseRepresentation
bin1001001101000100101110…
…1010001100011000010100
31022211111000222212220000010
42103101023222030120110
52311302143322120312
633305054503520220
72063106203140110
oct223211352143024
938744028786003
1010120212301332
113251a5a013291
121175446759070
13585441316083
1426db6c73a740
151283b388293c
hex9344ba8c614

10120212301332 has 96 divisors (see below), whose sum is σ = 27391449093120. Its totient is φ = 2848184824320.

The previous prime is 10120212301321. The next prime is 10120212301351. The reversal of 10120212301332 is 23310321202101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10120212301299 and 10120212301308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152930332 + ... + 152996492.

It is an arithmetic number, because the mean of its divisors is an integer number (285327594720).

Almost surely, 210120212301332 is an apocalyptic number.

10120212301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120212301332 is an abundant number, since it is smaller than the sum of its proper divisors (17271236791788).

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

10120212301332 is a wasteful number, since it uses less digits than its factorization.

10120212301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93421 (or 93419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10120212301332 its reverse (23310321202101), we get a palindrome (33430533503433).

The spelling of 10120212301332 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 27179 54358 66161 81537 108716 132322 163074 190253 198483 264644 326148 380506 396966 463127 570759 761012 793932 926254 1141518 1389381 1820993 1852508 2283036 2778762 3641986 4432787 5462979 5557524 7283972 8865574 10925958 12746951 13298361 17731148 21851916 25493902 26596722 31029509 38240853 50987804 53193444 62059018 76481706 93088527 124118036 152963412 186177054 372354108 1798189819 3596379638 5394569457 7192759276 10789138914 12587328733 21578277828 25174657466 37761986199 50349314932 75523972398 120478717873 151047944796 240957435746 361436153619 481914871492 722872307238 843351025111 1445744614476 1686702050222 2530053075333 3373404100444 5060106150666 10120212301332