Search a number
-
+
21010020020120 = 23567281234711887
BaseRepresentation
bin1001100011011110001101…
…10001111010111110011000
32202101112112102022200201002
410301233012301322332120
510223212010111120440
6112403511524244132
74265631611364365
oct461570661727630
982345472280632
1021010020020120
11677033263139a
122433a71240648
13b9530c459361
14528c6735946c
152667bb112115
hex131bc6c7af98

21010020020120 has 128 divisors (see below), whose sum is σ = 48173413340160. Its totient is φ = 8244905518080.

The previous prime is 21010020020111. The next prime is 21010020020161. The reversal of 21010020020120 is 2102002001012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767472817 + ... + 1767484703.

It is an arithmetic number, because the mean of its divisors is an integer number (376354791720).

Almost surely, 221010020020120 is an apocalyptic number.

21010020020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010020020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086706670080).

21010020020120 is an abundant number, since it is smaller than the sum of its proper divisors (27163393320040).

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

21010020020120 is a wasteful number, since it uses less digits than its factorization.

21010020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593 (or 14589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21010020020120 its reverse (2102002001012), we get a palindrome (23112022021132).

The spelling of 21010020020120 in words is "twenty-one trillion, ten billion, twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 281 335 536 562 670 1124 1340 1405 2248 2347 2680 2810 4694 5620 9388 11240 11735 11887 18776 18827 23470 23774 37654 46940 47548 59435 75308 93880 94135 95096 118870 150616 157249 188270 237740 314498 376540 475480 628996 659507 753080 786245 796429 1257992 1319014 1572490 1592858 2638028 3144980 3185716 3297535 3340247 3982145 5276056 6289960 6371432 6595070 6680494 7964290 13190140 13360988 15928580 16701235 26380280 26721976 27898789 31857160 33402470 44186969 55797578 66804940 88373938 111595156 133609880 139493945 176747876 220934845 223190312 223796549 278987890 353495752 441869690 447593098 557975780 883739380 895186196 1115951560 1118982745 1767478760 1790372392 1869218863 2237965490 3738437726 4475930980 7476875452 7839559709 8951861960 9346094315 14953750904 15679119418 18692188630 31358238836 37384377260 39197798545 62716477672 74768754520 78395597090 156791194180 313582388360 525250500503 1050501001006 2101002002012 2626252502515 4202004004024 5252505005030 10505010010060 21010020020120