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11210010212120 = 23519291015035853
BaseRepresentation
bin1010001100100000100010…
…1011010011011100011000
31110200122222212220211022212
42203020020223103130120
52432131100103241440
635501450235134252
72234616334424246
oct243101053233430
943618885824285
1011210010212120
11363215857a695
1213106a98a4388
1363413a597965
142aa7d2cb7796
151468e8857465
hexa3208ad3718

11210010212120 has 128 divisors (see below), whose sum is σ = 27737483832000. Its totient is φ = 4060911052800.

The previous prime is 11210010212081. The next prime is 11210010212129. The reversal of 11210010212120 is 2121201001211.

It is a junction number, because it is equal to n+sod(n) for n = 11210010212095 and 11210010212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210010212129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291887 + ... + 4743966.

Almost surely, 211210010212120 is an apocalyptic number.

11210010212120 is a gapful number since it is divisible by the number (10) 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 11210010212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868741916000).

11210010212120 is an abundant number, since it is smaller than the sum of its proper divisors (16527473619880).

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

11210010212120 is a wasteful number, since it uses less digits than its factorization.

11210010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036013 (or 5036009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11210010212120 its reverse (2121201001211), we get a palindrome (13331211213331).

The spelling of 11210010212120 in words is "eleven trillion, two hundred ten billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 101 116 145 152 190 202 232 290 380 404 505 551 580 760 808 1010 1102 1160 1919 2020 2204 2755 2929 3838 4040 4408 5510 5858 7676 9595 11020 11716 14645 15352 19190 22040 23432 29290 38380 55651 58580 76760 111302 117160 222604 278255 445208 556510 1113020 2226040 5035853 10071706 20143412 25179265 40286824 50358530 95681207 100717060 146039737 191362414 201434120 292079474 382724828 478406035 508621153 584158948 730198685 765449656 956812070 1017242306 1168317896 1460397370 1913624140 2034484612 2543105765 2774755003 2920794740 3827248280 4068969224 5086211530 5549510006 5841589480 9663801907 10172423060 11099020012 13873775015 14750013437 19327603814 20344846120 22198040024 27747550030 29500026874 38655207628 48319009535 55495100060 59000053748 73750067185 77310415256 96638019070 110990200120 118000107496 147500134370 193276038140 280250255303 295000268740 386552076280 560500510606 590000537480 1121001021212 1401251276515 2242002042424 2802502553030 5605005106060 11210010212120