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1021202022112 = 25197123998981
BaseRepresentation
bin11101101110001000110…
…00100011111011100000
310121121220022202202002021
432313010120203323200
5113212410204201422
62101044515231224
7133531223652406
oct16670430437340
93547808682067
101021202022112
113640a8a11a18
12145aba5a8514
13753b69c515c
14375d8227476
151b86ccbbdc7
hexedc4623ee0

1021202022112 has 96 divisors (see below), whose sum is σ = 2155115289600. Its totient is φ = 474913958400.

The previous prime is 1021202022079. The next prime is 1021202022121. The reversal of 1021202022112 is 2112202021201.

It is a happy number.

1021202022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10267662 + ... + 10366642.

It is an arithmetic number, because the mean of its divisors is an integer number (22449117600).

Almost surely, 21021202022112 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 1021202022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077557644800).

1021202022112 is an abundant number, since it is smaller than the sum of its proper divisors (1133913267488).

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

1021202022112 is a wasteful number, since it uses less digits than its factorization.

1021202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99320 (or 99312 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1021202022112 its reverse (2112202021201), we get a palindrome (3133404043313).

The spelling of 1021202022112 in words is "one trillion, twenty-one billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 239 284 304 478 568 608 956 1136 1349 1912 2272 2698 3824 4541 5396 7648 9082 10792 16969 18164 21584 33938 36328 43168 67876 72656 98981 135752 145312 197962 271504 322411 395924 543008 644822 791848 1289644 1583696 1880639 2579288 3167392 3761278 5158576 7027651 7522556 10317152 14055302 15045112 23656459 28110604 30090224 47312918 56221208 60180448 94625836 112442416 133525369 189251672 224884832 267050738 378503344 449472721 534101476 757006688 898945442 1068202952 1679608589 1797890884 2136405904 3359217178 3595781768 4272811808 6718434356 7191563536 13436868712 14383127072 26873737424 31912563191 53747474848 63825126382 127650252764 255300505528 510601011056 1021202022112