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21114214002 = 2337223463541
BaseRepresentation
bin10011101010100000…
…010101011001110010
32000111111010012112000
4103222200111121302
5321220214322002
613411050514430
71345141600140
oct235240253162
960444105460
1021114214002
118a55472542
124113135a16
131cb649426b
141044284590
158389ad61c
hex4ea815672

21114214002 has 128 divisors (see below), whose sum is σ = 54079979520. Its totient is φ = 5981532480.

The previous prime is 21114214001. The next prime is 21114214031. The reversal of 21114214002 is 20041241112.

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 (21114214001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39027852 + ... + 39028392.

It is an arithmetic number, because the mean of its divisors is an integer number (422499840).

Almost surely, 221114214002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114214002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27039989760).

21114214002 is an abundant number, since it is smaller than the sum of its proper divisors (32965765518).

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

21114214002 is a wasteful number, since it uses less digits than its factorization.

21114214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21114214002 its reverse (20041241112), we get a palindrome (41155455114).

The spelling of 21114214002 in words is "twenty-one billion, one hundred fourteen million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 223 378 446 463 541 669 926 1082 1338 1389 1561 1623 2007 2778 3122 3241 3246 3787 4014 4167 4683 4869 6021 6482 7574 8334 9366 9723 9738 11361 12042 12501 14049 14607 19446 22722 25002 28098 29169 29214 34083 42147 58338 68166 84294 87507 102249 103249 120643 175014 204498 206498 241286 250483 309747 361929 500966 619494 722743 723858 751449 844501 929241 1085787 1445486 1502898 1689002 1753381 1858482 2168229 2171574 2254347 2533503 2787723 3257361 3506762 4336458 4508694 5067006 5260143 5575446 6504687 6514722 6763041 7600509 10520286 13009374 13526082 15201018 15780429 19514061 22801527 31560858 39028122 45603054 47341287 55857709 94682574 111715418 167573127 335146254 391003963 502719381 782007926 1005438762 1173011889 1508158143 2346023778 3016316286 3519035667 7038071334 10557107001 21114214002