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21531112002 = 23229374723719
BaseRepresentation
bin10100000011010110…
…101011001001000010
32001120112120211001200
4110003112223021002
5323043431041002
613520302242030
71361363301201
oct240326531102
961515524050
1021531112002
11914982a144
12420a886316
13205197107a
1410837a7238
158603adb1c
hex5035ab242

21531112002 has 96 divisors (see below), whose sum is σ = 50620377600. Its totient is φ = 6598537344.

The previous prime is 21531111971. The next prime is 21531112003. The reversal of 21531112002 is 20021113512.

21531112002 is a `hidden beast` number, since 21 + 531 + 112 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21531112003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895899 + ... + 919617.

It is an arithmetic number, because the mean of its divisors is an integer number (527295600).

Almost surely, 221531112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21531112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310188800).

21531112002 is an abundant number, since it is smaller than the sum of its proper divisors (29089265598).

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

21531112002 is a wasteful number, since it uses less digits than its factorization.

21531112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23840 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 21531112002 its reverse (20021113512), we get a palindrome (41552225514).

The spelling of 21531112002 in words is "twenty-one billion, five hundred thirty-one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 29 37 47 58 74 87 94 111 141 174 222 261 282 333 423 522 666 846 1073 1363 1739 2146 2726 3219 3478 4089 5217 6438 8178 9657 10434 12267 15651 19314 23719 24534 31302 47438 50431 71157 100862 142314 151293 213471 302586 426942 453879 687851 877603 907758 1114793 1375702 1755206 2063553 2229586 2632809 3344379 4127106 5265618 6190659 6688758 7898427 10033137 12381318 15796854 20066274 25450487 32328997 41247341 50900974 64657994 76351461 82494682 96986991 123742023 152702922 193973982 229054383 247484046 290960973 371226069 458108766 581921946 742452138 1196172889 2392345778 3588518667 7177037334 10765556001 21531112002