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10212210024 = 2335371731549
BaseRepresentation
bin10011000001011000…
…11111010101101000
3222100201002000112220
421200230133111220
5131403311210044
64405203034040
7511032232032
oct114054372550
928321060486
1010212210024
1143705875a5
121b9006b920
13c6995b233
146cc402c52
153eb82a019
hex260b1f568

10212210024 has 128 divisors (see below), whose sum is σ = 26757216000. Its totient is φ = 3245598720.

The previous prime is 10212209989. The next prime is 10212210067. The reversal of 10212210024 is 42001221201.

It is a junction number, because it is equal to n+sod(n) for n = 10212209985 and 10212210012.

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, 6592002 + ... + 6593550.

It is an arithmetic number, because the mean of its divisors is an integer number (209040750).

Almost surely, 210212210024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378608000).

10212210024 is an abundant number, since it is smaller than the sum of its proper divisors (16545005976).

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

10212210024 is a wasteful number, since it uses less digits than its factorization.

10212210024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10212210024 its reverse (42001221201), we get a palindrome (52213431225).

The spelling of 10212210024 in words is "ten billion, two hundred twelve million, two hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 71 73 106 142 146 159 212 213 219 284 292 318 424 426 438 568 584 636 852 876 1272 1549 1704 1752 3098 3763 3869 4647 5183 6196 7526 7738 9294 10366 11289 11607 12392 15052 15476 15549 18588 20732 22578 23214 30104 30952 31098 37176 41464 45156 46428 62196 82097 90312 92856 109979 113077 124392 164194 219958 226154 246291 274699 328388 329937 339231 439916 452308 492582 549398 656776 659874 678462 824097 879832 904616 985164 1098796 1319748 1356924 1648194 1970328 2197592 2639496 2713848 3296388 5828887 5993081 6592776 8028467 11657774 11986162 16056934 17486661 17979243 23315548 23972324 24085401 32113868 34973322 35958486 46631096 47944648 48170802 64227736 69946644 71916972 96341604 139893288 143833944 192683208 425508751 851017502 1276526253 1702035004 2553052506 3404070008 5106105012 10212210024