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10001211110212 = 2273291249201251
BaseRepresentation
bin1001000110001001011010…
…1000101011001101000100
31022102002212121011000201011
42101202112220223031010
52302324440021011322
633134254251212004
72051364222535000
oct221422650531504
938362777130634
1010001211110212
113206542a39053
121156375447004
1357715803c99a
142680bdd11700
1512524b425677
hex91896a2b344

10001211110212 has 96 divisors (see below), whose sum is σ = 21131460000000. Its totient is φ = 4135098240000.

The previous prime is 10001211110179. The next prime is 10001211110213. The reversal of 10001211110212 is 21201111210001.

It is a happy number.

It is a super-3 number, since 3×100012111102123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10001211110192 and 10001211110201.

It is not an unprimeable number, because it can be changed into a prime (10001211110213) 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, 49594587 + ... + 49795837.

It is an arithmetic number, because the mean of its divisors is an integer number (220119375000).

Almost surely, 210001211110212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001211110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565730000000).

10001211110212 is an abundant number, since it is smaller than the sum of its proper divisors (11130248889788).

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

10001211110212 is a wasteful number, since it uses less digits than its factorization.

10001211110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202554 (or 202538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10001211110212 its reverse (21201111210001), we get a palindrome (31202322320213).

The spelling of 10001211110212 in words is "ten trillion, one billion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 406 686 812 1249 1372 1421 2498 2842 4996 5684 8743 9947 17486 19894 34972 36221 39788 61201 72442 122402 144884 201251 244804 253547 402502 428407 507094 805004 856814 1014188 1408757 1713628 1774829 2817514 3549658 5635028 5836279 7099316 9861299 11672558 12423803 19722598 23345116 24847606 39445196 40853953 49695212 69029093 81707906 138058186 163415812 251362499 276116372 285977671 502724998 571955342 1005449996 1143910684 1759537493 2001843697 3519074986 4003687394 7038149972 7289512471 8007374788 12316762451 14579024942 24633524902 29158049884 49267049804 51026587297 86217337157 102053174594 172434674314 204106349188 344869348628 357186111079 714372222158 1428744444316 2500302777553 5000605555106 10001211110212