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10121111130 = 23513234724007
BaseRepresentation
bin10010110110100001…
…11110011001011010
3222010100122201100210
421123100332121122
5131212001024010
64352150311550
7505545011424
oct113320763132
928110581323
1010121111130
114324115659
121b656585b6
13c53b13070
146c028b814
153e3832b20
hex25b43e65a

10121111130 has 128 divisors (see below), whose sum is σ = 27878473728. Its totient is φ = 2332230912.

The previous prime is 10121111101. The next prime is 10121111191. The reversal of 10121111130 is 3111112101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409587 + ... + 433593.

It is an arithmetic number, because the mean of its divisors is an integer number (217800576).

Almost surely, 210121111130 is an apocalyptic number.

10121111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939236864).

10121111130 is an abundant number, since it is smaller than the sum of its proper divisors (17757362598).

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

10121111130 is a wasteful number, since it uses less digits than its factorization.

10121111130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10121111130 its reverse (3111112101), we get a palindrome (13232223231).

The spelling of 10121111130 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 47 65 69 78 94 115 130 138 141 195 230 235 282 299 345 390 470 598 611 690 705 897 1081 1222 1410 1495 1794 1833 2162 2990 3055 3243 3666 4485 5405 6110 6486 8970 9165 10810 14053 16215 18330 24007 28106 32430 42159 48014 70265 72021 84318 120035 140530 144042 210795 240070 312091 360105 421590 552161 624182 720210 936273 1104322 1128329 1560455 1656483 1872546 2256658 2760805 3120910 3312966 3384987 4681365 5521610 5641645 6769974 7178093 8282415 9362730 11283290 14356186 14668277 16564830 16924935 21534279 25951567 29336554 33849870 35890465 43068558 44004831 51903134 71780930 73341385 77854701 88009662 107671395 129757835 146682770 155709402 215342790 220024155 259515670 337370371 389273505 440048310 674740742 778547010 1012111113 1686851855 2024222226 3373703710 5060555565 10121111130