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31322020010220 = 223254672897128621
BaseRepresentation
bin1110001111100101110011…
…11000000101100011101100
311002220100121102120122001100
413013302321320011203230
513101134444110311340
6150341045400043100
76411640566150252
oct707627170054354
9132810542518040
1031322020010220
119a866598068a5
12361a501163490
131462866573624
147a3dcb2045d2
15394b56e81830
hex1c7cb9e058ec

31322020010220 has 144 divisors (see below), whose sum is σ = 95247181961568. Its totient is φ = 8331711375360.

The previous prime is 31322020010159. The next prime is 31322020010233. The reversal of 31322020010220 is 2201002022313.

31322020010220 is a `hidden beast` number, since 3 + 13 + 220 + 200 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31322020010193 and 31322020010202.

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, 243457510 + ... + 243586130.

It is an arithmetic number, because the mean of its divisors is an integer number (661438763622).

Almost surely, 231322020010220 is an apocalyptic number.

31322020010220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322020010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47623590980784).

31322020010220 is an abundant number, since it is smaller than the sum of its proper divisors (63925161951348).

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

31322020010220 is a wasteful number, since it uses less digits than its factorization.

31322020010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132000 (or 131995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31322020010220 its reverse (2201002022313), we get a palindrome (33523022032533).

The spelling of 31322020010220 in words is "thirty-one trillion, three hundred twenty-two billion, twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 2897 4203 4670 5604 5794 7005 8406 8691 9340 11588 14010 14485 16812 17382 21015 26073 28020 28970 34764 42030 43455 52146 57940 84060 86910 104292 128621 130365 173820 257242 260730 385863 514484 521460 643105 771726 1157589 1286210 1352899 1543452 1929315 2315178 2572420 2705798 3858630 4058697 4630356 5411596 5787945 6764495 7717260 8117394 11575890 12176091 13528990 16234788 20293485 23151780 24352182 27057980 40586970 48704364 60066007 60880455 81173940 120132014 121760910 180198021 240264028 243521820 300330035 360396042 372615037 540594063 600660070 720792084 745230074 900990105 1081188126 1117845111 1201320140 1490460148 1801980210 1863075185 2162376252 2235690222 2702970315 3353535333 3603960420 3726150370 4471380444 5405940630 5589225555 6707070666 7452300740 10811881260 11178451110 13414141332 16767676665 22356902220 33535353330 67070706660 174011222279 348022444558 522033666837 696044889116 870056111395 1044067333674 1566101000511 1740112222790 2088134667348 2610168334185 3132202001022 3480224445580 5220336668370 6264404002044 7830505002555 10440673336740 15661010005110 31322020010220