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21142101402 = 23237149257829
BaseRepresentation
bin10011101100001010…
…101101110110011010
32000120102121000211200
4103230022231312122
5321244334221102
613413524335030
71345630616412
oct235412556632
960512530750
1021142101402
118a6a18a784
124120544476
131cbc1a9796
141047c63642
1583b16b51c
hex4ec2add9a

21142101402 has 96 divisors (see below), whose sum is σ = 47603322000. Its totient is φ = 6776193024.

The previous prime is 21142101373. The next prime is 21142101419. The reversal of 21142101402 is 20410124112.

21142101402 is a `hidden beast` number, since 21 + 142 + 101 + 402 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17819847081 + 3322254321 = 133491^2 + 57639^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25502724 + ... + 25503552.

Almost surely, 221142101402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142101402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801661000).

21142101402 is an abundant number, since it is smaller than the sum of its proper divisors (26461220598).

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

21142101402 is a wasteful number, since it uses less digits than its factorization.

21142101402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

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

Adding to 21142101402 its reverse (20410124112), we get a palindrome (41552225514).

The spelling of 21142101402 in words is "twenty-one billion, one hundred forty-two million, one hundred one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 149 222 257 298 333 447 514 666 771 829 894 1341 1542 1658 2313 2487 2682 4626 4974 5513 7461 9509 11026 14922 16539 19018 28527 30673 33078 38293 49617 57054 61346 76586 85581 92019 99234 114879 123521 171162 184038 213053 229758 247042 276057 344637 370563 426106 552114 639159 689274 741126 1111689 1278318 1416841 1917477 2223378 2833682 3834954 4250523 4570277 7882961 8501046 9140554 12751569 13710831 15765922 23648883 25503138 27421662 31744897 41132493 47297766 63489794 70946649 82264986 95234691 141893298 190469382 285704073 571408146 1174561189 2349122378 3523683567 7047367134 10571050701 21142101402