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332013311022030 = 235114348748044551
BaseRepresentation
bin100101101111101101101111…
…1011101101101001111001110
31121112120011101111112011210020
41023133123133131231033032
5322004201230110201110
63134044450501523010
7126635112233405631
oct11337333735551716
91545504344464706
10332013311022030
1196876066559210
12312a24a2113466
131133494aa36a11
145bdb75c43dc18
15285b665001d70
hex12df6df76d3ce

332013311022030 has 128 divisors (see below), whose sum is σ = 891313304150016. Its totient is φ = 78454828368000.

The previous prime is 332013311022007. The next prime is 332013311022037. The reversal of 332013311022030 is 30220113310233.

It is a super-2 number, since 2×3320133110220302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013311022037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17111746 + ... + 30932805.

It is an arithmetic number, because the mean of its divisors is an integer number (6963385188672).

Almost surely, 2332013311022030 is an apocalyptic number.

332013311022030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332013311022030 is an abundant number, since it is smaller than the sum of its proper divisors (559299993127986).

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

332013311022030 is a wasteful number, since it uses less digits than its factorization.

332013311022030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48045102.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332013311022030 its reverse (30220113310233), we get a palindrome (362233424332263).

The spelling of 332013311022030 in words is "three hundred thirty-two trillion, thirteen billion, three hundred eleven million, twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 487 645 946 974 1290 1419 1461 2365 2435 2838 2922 4730 4870 5357 7095 7305 10714 14190 14610 16071 20941 26785 32142 41882 53570 62823 80355 104705 125646 160710 209410 230351 314115 460702 628230 691053 1151755 1382106 2303510 3455265 6910530 48044551 96089102 144133653 240222755 288267306 480445510 528490061 720668265 1056980122 1441336530 1585470183 2065915693 2642450305 3170940366 4131831386 5284900610 6197747079 7927350915 10329578465 12395494158 15854701830 20659156930 22725072623 23397696337 30988735395 45450145246 46795392674 61977470790 68175217869 70193089011 113625363115 116988481685 136350435738 140386178022 227250726230 233976963370 257374659707 340876089345 350965445055 514749319414 681752178690 701930890110 772123979121 1006100942491 1286873298535 1544247958242 2012201884982 2573746597070 3018302827473 3860619895605 5030504712455 6036605654946 7721239791210 10061009424910 11067110367401 15091514137365 22134220734802 30183028274730 33201331102203 55335551837005 66402662204406 110671103674010 166006655511015 332013311022030