Search a number
-
+
122002313302320 = 243511131352770973
BaseRepresentation
bin11011101111010111100000…
…100010111101000100110000
3120222222022021222111211010020
4123233113200202331010300
5111442341214201133240
61111251031120003440
734461243025345653
oct3357274042750460
9528868258454106
10122002313302320
11359679882a12a0
1211824a47a60580
13530c9cc012b89
14221ad2cc5189a
15e188607810d0
hex6ef5e08bd130

122002313302320 has 160 divisors (see below), whose sum is σ = 415739181775104. Its totient is φ = 29350544870400.

The previous prime is 122002313302187. The next prime is 122002313302339. The reversal of 122002313302320 is 23203313200221.

It is a super-2 number, since 2×1220023133023202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 176039647 + ... + 176731326.

Almost surely, 2122002313302320 is an apocalyptic number.

122002313302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002313302320 is an abundant number, since it is smaller than the sum of its proper divisors (293736868472784).

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

122002313302320 is a wasteful number, since it uses less digits than its factorization.

122002313302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352771131 (or 352771125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122002313302320 its reverse (23203313200221), we get a palindrome (145205626502541).

The spelling of 122002313302320 in words is "one hundred twenty-two trillion, two billion, three hundred thirteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 3144 3930 4323 5240 5764 6288 7205 7860 8646 10480 11528 14410 15720 17292 21615 23056 28820 31440 34584 43230 57640 69168 86460 115280 172920 345840 352770973 705541946 1058312919 1411083892 1763854865 2116625838 2822167784 3527709730 3880480703 4233251676 5291564595 5644335568 7055419460 7760961406 8466503352 10583129190 11641442109 14110838920 15521922812 16933006704 19402403515 21166258380 23282884218 28221677840 31043845624 38804807030 42332516760 46212997463 46565768436 58207210545 62087691248 77609614060 84665033520 92425994926 93131536872 116414421090 138638992389 155219228120 184851989852 186263073744 231064987315 232828842180 277277984778 310438456240 369703979704 462129974630 465657684360 508342972093 554555969556 693194961945 739407959408 924259949260 931315368720 1016685944186 1109111939112 1386389923890 1525028916279 1848519898520 2033371888372 2218223878224 2541714860465 2772779847780 3050057832558 3697039797040 4066743776744 5083429720930 5545559695560 6100115665116 7625144581395 8133487553488 10166859441860 11091119391120 12200231330232 15250289162790 20333718883720 24400462660464 30500578325580 40667437767440 61001156651160 122002313302320