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10001011110220 = 22513316411935757
BaseRepresentation
bin1001000110001000101010…
…1101101111000101001100
31022102002100122210222022001
42101202022231233011030
52302324032321011340
633134222344402044
72051356243550434
oct221421255570514
938362318728261
1010001011110220
1132064500560a9
12115631a476324
135771257856b0
142680a152d2c4
15125238abb29a
hex9188ab6f14c

10001011110220 has 96 divisors (see below), whose sum is σ = 23383708862976. Its totient is φ = 3567985459200.

The previous prime is 10001011110173. The next prime is 10001011110241. The reversal of 10001011110220 is 2201111010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001011110197 and 10001011110206.

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, 4198582 + ... + 6134338.

It is an arithmetic number, because the mean of its divisors is an integer number (243580300656).

Almost surely, 210001011110220 is an apocalyptic number.

10001011110220 is a gapful number since it is divisible by the number (10) 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 10001011110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691854431488).

10001011110220 is an abundant number, since it is smaller than the sum of its proper divisors (13382697752756).

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

10001011110220 is a wasteful number, since it uses less digits than its factorization.

10001011110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936451 (or 1936449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001011110220 its reverse (2201111010001), we get a palindrome (12202122120221).

The spelling of 10001011110220 in words is "ten trillion, one billion, eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 641 806 1282 1612 2015 2564 3205 4030 6410 8060 8333 12820 16666 19871 33332 39742 41665 79484 83330 99355 166660 198710 258323 397420 516646 1033292 1291615 1935757 2583230 3871514 5166460 7743028 9678785 19357570 25164841 38715140 50329682 60008467 100659364 120016934 125824205 240033868 251648410 300042335 503296820 600084670 780110071 1200169340 1240820237 1560220142 2481640474 3120440284 3900550355 4963280948 6204101185 7801100710 12408202370 15602201420 16130663081 24816404740 32261326162 38465427347 64522652324 76930854694 80653315405 153861709388 161306630810 192327136735 322613261620 384654273470 500050555511 769308546940 1000101111022 2000202222044 2500252777555 5000505555110 10001011110220