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23213101020012 = 22321922131783791
BaseRepresentation
bin1010100011100101110001…
…01000111111001101101100
310001012011001220220020110200
411101302320220333031230
511020310412330120022
6121211541300033500
74614043166041431
oct521627050771554
9101164056806420
1023213101020012
11743a6913a8182
12272aa30692890
13cc4ca8414647
145a373d179b88
152a3c5cca7bac
hex151cb8a3f36c

23213101020012 has 108 divisors (see below), whose sum is σ = 61932039545376. Its totient is φ = 7330021594560.

The previous prime is 23213101019981. The next prime is 23213101020037. The reversal of 23213101020012 is 21002010131232.

23213101020012 is a `hidden beast` number, since 2 + 321 + 310 + 1 + 0 + 20 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276993837 + ... + 277077627.

Almost surely, 223213101020012 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 23213101020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30966019772688).

23213101020012 is an abundant number, since it is smaller than the sum of its proper divisors (38718938525364).

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

23213101020012 is a wasteful number, since it uses less digits than its factorization.

23213101020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105156 (or 105132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23213101020012 its reverse (21002010131232), we get a palindrome (44215111151244).

The spelling of 23213101020012 in words is "twenty-three trillion, two hundred thirteen billion, one hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 21317 42634 63951 83791 85268 127902 167582 191853 251373 255804 335164 383706 405023 502746 754119 767412 810046 1005492 1215069 1508238 1592029 1620092 2430138 3016476 3184058 3645207 4776087 4860276 6368116 7290414 7695437 9552174 14328261 14580828 15390874 19104348 23086311 28656522 30248551 30781748 46172622 57313044 60497102 69258933 90745653 92345244 120994204 138517866 181491306 272236959 277035732 362982612 544473918 1088947836 1786172747 3572345494 5358518241 7144690988 10717036482 16075554723 21434072964 32151109446 33937282193 64302218892 67874564386 101811846579 135749128772 203623693158 305435539737 407247386316 610871079474 644808361667 1221742158948 1289616723334 1934425085001 2579233446668 3868850170002 5803275255003 7737700340004 11606550510006 23213101020012