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12002031210 = 2351361613823
BaseRepresentation
bin10110010110110000…
…00111011001101010
31010222102221100122110
423023120013121222
5144040004444320
65302541103150
7603264403431
oct131330073152
933872840573
1012002031210
1150a9919764
1223ab557ab6
1311936c6220
1481bdca118
154a3a225e0
hex2cb60766a

12002031210 has 128 divisors (see below), whose sum is σ = 31618976256. Its totient is φ = 2897648640.

The previous prime is 12002031121. The next prime is 12002031211. The reversal of 12002031210 is 1213020021.

12002031210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12002031211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14582859 + ... + 14583681.

It is an arithmetic number, because the mean of its divisors is an integer number (247023252).

Almost surely, 212002031210 is an apocalyptic number.

12002031210 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 12002031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809488128).

12002031210 is an abundant number, since it is smaller than the sum of its proper divisors (19616945046).

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

12002031210 is a wasteful number, since it uses less digits than its factorization.

12002031210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12002031210 its reverse (1213020021), we get a palindrome (13215051231).

The spelling of 12002031210 in words is "twelve billion, two million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 613 793 823 915 1226 1586 1646 1830 1839 2379 2469 3065 3678 3965 4115 4758 4938 6130 7930 7969 8230 9195 10699 11895 12345 15938 18390 21398 23790 23907 24690 32097 37393 39845 47814 50203 53495 64194 74786 79690 100406 106990 112179 119535 150609 160485 186965 224358 239070 251015 301218 320970 373930 486109 502030 504499 560895 652639 753045 972218 1008998 1121790 1305278 1458327 1506090 1513497 1957917 2430545 2522495 2916654 3026994 3263195 3915834 4861090 5044990 6526390 6558487 7291635 7567485 9789585 13116974 14583270 15134970 19579170 19675461 30774439 32792435 39350922 61548878 65584870 92323317 98377305 153872195 184646634 196754610 307744390 400067707 461616585 800135414 923233170 1200203121 2000338535 2400406242 4000677070 6001015605 12002031210