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10033224023020 = 22511149937326657
BaseRepresentation
bin1001001000000000101011…
…0000001111101111101100
31022112011111122002111100111
42102000022300033233230
52303341020322214040
633201111031105404
72053606434026212
oct222001260175754
938464448074314
1010033224023020
113219080439290
12116060a512264
1357a18a450743
14269879816cb2
15125ec1b12dea
hex9200ac0fbec

10033224023020 has 96 divisors (see below), whose sum is σ = 23164233422400. Its totient is φ = 3620080189440.

The previous prime is 10033224023003. The next prime is 10033224023027. The reversal of 10033224023020 is 2032042233001.

It is a super-2 number, since 2×100332240230202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10033224022982 and 10033224023000.

It is not an unprimeable number, because it can be changed into a prime (10033224023027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30551532 + ... + 30878188.

It is an arithmetic number, because the mean of its divisors is an integer number (241294098150).

Almost surely, 210033224023020 is an apocalyptic number.

10033224023020 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 10033224023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582116711200).

10033224023020 is an abundant number, since it is smaller than the sum of its proper divisors (13131009399380).

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

10033224023020 is a wasteful number, since it uses less digits than its factorization.

10033224023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327763 (or 327761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10033224023020 its reverse (2032042233001), we get a palindrome (12065266256021).

The spelling of 10033224023020 in words is "ten trillion, thirty-three billion, two hundred twenty-four million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 937 1490 1639 1874 2980 3278 3748 4685 6556 8195 9370 10307 16390 18740 20614 32780 41228 51535 103070 139613 206140 279226 326657 558452 653314 698065 1306628 1396130 1535743 1633285 2792260 3071486 3266570 3593227 6142972 6533140 7186454 7678715 14372908 15357430 17966135 30714860 35932270 48671893 71864540 97343786 194687572 243359465 306077609 486718930 535390823 612155218 973437860 1070781646 1224310436 1530388045 2141563292 2676954115 3060776090 3366853699 5353908230 6121552180 6733707398 10707816460 13467414796 16834268495 33668536990 45605563741 67337073980 91211127482 182422254964 228027818705 456055637410 501661201151 912111274820 1003322402302 2006644804604 2508306005755 5016612011510 10033224023020