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1000202122010 = 257138923353003
BaseRepresentation
bin11101000111000001011…
…00010011001100011010
310112121200210202021202102
432203200230103030122
5112341403220401020
62043253030403402
7132155640522020
oct16434054231432
93477623667672
101000202122010
11356202028183
12141a19800562
137341b116970
14365a521c710
151b03e38e475
hexe8e0b1331a

1000202122010 has 128 divisors (see below), whose sum is σ = 2250388707840. Its totient is φ = 311641583616.

The previous prime is 1000202121979. The next prime is 1000202122037. The reversal of 1000202122010 is 102212020001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000202121982 and 1000202122000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18844169 + ... + 18897171.

It is an arithmetic number, because the mean of its divisors is an integer number (17581161780).

Almost surely, 21000202122010 is an apocalyptic number.

1000202122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000202122010 is an abundant number, since it is smaller than the sum of its proper divisors (1250186585830).

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

1000202122010 is a wasteful number, since it uses less digits than its factorization.

1000202122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53352.

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

Adding to 1000202122010 its reverse (102212020001), we get a palindrome (1102414142011).

The spelling of 1000202122010 in words is "one trillion, two hundred two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 89 91 130 178 182 233 445 455 466 623 890 910 1157 1165 1246 1631 2314 2330 3029 3115 3262 5785 6058 6230 8099 8155 11570 15145 16198 16310 20737 21203 30290 40495 41474 42406 53003 80990 103685 106006 106015 145159 207370 212030 265015 269581 290318 371021 530030 539162 689039 725795 742042 1347905 1378078 1451590 1855105 1887067 2695810 3445195 3710210 3774134 4717267 4823273 6890390 9434534 9435335 9646546 12349699 18870670 23586335 24116365 24699398 33020869 47172670 48232730 61324471 61748495 66041738 86447893 122648942 123496990 160546087 165104345 172895786 306622355 321092174 330208690 429271297 432239465 613244710 802730435 858542594 864478930 1099123211 1123822609 1605460870 2146356485 2198246422 2247645218 4292712970 5495616055 5619113045 7693862477 10991232110 11238226090 14288601743 15387724954 28577203486 38469312385 71443008715 76938624770 100020212201 142886017430 200040424402 500101061005 1000202122010