Search a number
-
+
10121031024 = 24313197281293
BaseRepresentation
bin10010110110100001…
…01010110101110000
3222010100111122110220
421123100222311300
5131211440443044
64352144453040
7505544226036
oct113320526560
928110448426
1010121031024
114324070455
121b6561a180
13c53ab5770
146c026a556
153e3819019
hex25b42ad70

10121031024 has 160 divisors (see below), whose sum is σ = 28497801024. Its totient is φ = 3076792320.

The previous prime is 10121030999. The next prime is 10121031031. The reversal of 10121031024 is 42013012101.

It is a junction number, because it is equal to n+sod(n) for n = 10121030994 and 10121031012.

It is a congruent number.

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, 34542622 + ... + 34542914.

Almost surely, 210121031024 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 10121031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248900512).

10121031024 is an abundant number, since it is smaller than the sum of its proper divisors (18376770000).

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

10121031024 is a wasteful number, since it uses less digits than its factorization.

10121031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10121031024 its reverse (42013012101), we get a palindrome (52134043125).

The spelling of 10121031024 in words is "ten billion, one hundred twenty-one million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 281 293 312 394 562 586 591 624 788 843 879 1124 1172 1182 1576 1686 1758 2248 2344 2364 2561 3152 3372 3516 3653 3809 4496 4688 4728 5122 6744 7032 7306 7618 7683 9456 10244 10959 11427 13488 14064 14612 15236 15366 20488 21918 22854 29224 30472 30732 40976 43836 45708 55357 57721 58448 60944 61464 82333 87672 91416 110714 115442 122928 164666 166071 173163 175344 182832 221428 230884 246999 329332 332142 346326 442856 461768 493998 658664 664284 692652 719641 750373 885712 923536 987996 1070329 1317328 1328568 1385304 1439282 1500746 1975992 2140658 2158923 2251119 2657136 2770608 2878564 3001492 3210987 3951984 4281316 4317846 4502238 5757128 6002984 6421974 8562632 8635692 9004476 11514256 12005968 12843948 16219601 17125264 17271384 18008952 25687896 32439202 34542768 36017904 48658803 51375792 64878404 97317606 129756808 194635212 210854813 259513616 389270424 421709626 632564439 778540848 843419252 1265128878 1686838504 2530257756 3373677008 5060515512 10121031024