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10430012922132 = 2234753213947363
BaseRepresentation
bin1001011111000110110100…
…1101110001100100010100
31100221002200112102001000210
42113301231031301210110
52331341131302002012
634103252022205420
72124354305024106
oct227615515614424
940832615361023
1010430012922132
113361386425aa1
1212054a6283870
135a871373458b
14280b5b341576
1513149666923c
hex97c6d371914

10430012922132 has 144 divisors (see below), whose sum is σ = 25515085317120. Its totient is φ = 3314409431424.

The previous prime is 10430012922097. The next prime is 10430012922137. The reversal of 10430012922132 is 23122921003401.

10430012922132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10430012922132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430012922137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220190683 + ... + 220238045.

It is an arithmetic number, because the mean of its divisors is an integer number (177188092480).

Almost surely, 210430012922132 is an apocalyptic number.

10430012922132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10430012922132 is an abundant number, since it is smaller than the sum of its proper divisors (15085072394988).

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

10430012922132 is a wasteful number, since it uses less digits than its factorization.

10430012922132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47662 (or 47607 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 10430012922132 its reverse (23122921003401), we get a palindrome (33552933925533).

The spelling of 10430012922132 in words is "ten trillion, four hundred thirty billion, twelve million, nine hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 53 94 106 139 141 159 188 212 278 282 318 417 556 564 636 834 1668 2491 2809 4982 5618 6533 7367 7473 8427 9964 11236 13066 14734 14946 16854 19599 22101 26132 29468 29892 33708 39198 44202 47363 78396 88404 94726 132023 142089 189452 264046 284178 346249 390451 396069 528092 568356 692498 780902 792138 1038747 1171353 1384996 1561804 1584276 2077494 2226061 2342706 2510239 4154988 4452122 4685412 5020478 6583457 6678183 7530717 8904244 10040956 13166914 13356366 15061434 18351197 19750371 26333828 26712732 30122868 36702394 39500742 55053591 73404788 79001484 110107182 117981233 133042667 220214364 235962466 266085334 309422479 348923221 353943699 399128001 471924932 532170668 618844958 697846442 707887398 798256002 928267437 1046769663 1237689916 1395692884 1415774796 1596512004 1856534874 2093539326 3713069748 4187078652 6253005349 12506010698 16399391387 18492930713 18759016047 25012021396 32798782774 36985861426 37518032094 49198174161 55478792139 65597565548 73971722852 75036064188 98396348322 110957584278 196792696644 221915168556 869167743511 1738335487022 2607503230533 3476670974044 5215006461066 10430012922132