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12300100010022 = 231119372291157641
BaseRepresentation
bin1011001011111101011100…
…0101111000000000100110
31121112212201010012011111110
42302333113011320000212
53103011101100310042
642054330554445450
72406436642011306
oct262772705700046
947485633164443
1012300100010022
113a1249687a110
121467a12733886
136b2b82166706
14307484115606
15164e4928709c
hexb2fd7178026

12300100010022 has 128 divisors (see below), whose sum is σ = 29139238310400. Its totient is φ = 3420687283200.

The previous prime is 12300100010017. The next prime is 12300100010027. The reversal of 12300100010022 is 22001000100321.

12300100010022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12300100010017) and next prime (12300100010027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300100010027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10046322 + ... + 11203962.

It is an arithmetic number, because the mean of its divisors is an integer number (227650299300).

Almost surely, 212300100010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300100010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569619155200).

12300100010022 is an abundant number, since it is smaller than the sum of its proper divisors (16839138300378).

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

12300100010022 is a wasteful number, since it uses less digits than its factorization.

12300100010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157942.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12300100010022 its reverse (22001000100321), we get a palindrome (34301100110343).

The spelling of 12300100010022 in words is "twelve trillion, three hundred billion, one hundred million, ten thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 229 407 418 458 627 687 703 814 1221 1254 1374 1406 2109 2442 2519 4218 4351 5038 7557 7733 8473 8702 13053 15114 15466 16946 23199 25419 26106 46398 47861 50838 93203 95722 143583 160987 186406 279609 287166 321974 482961 559218 965922 1157641 1770857 2315282 3472923 3541714 5312571 6945846 10625142 12734051 21995179 25468102 38202153 42832717 43990358 65985537 76404306 85665434 128498151 131971074 241946969 256996302 265099789 471159887 483893938 530199578 725840907 795299367 813821623 942319774 1413479661 1451681814 1590598734 1627643246 2441464869 2826959322 2916097679 4882929738 5036895991 5832195358 8748293037 8952037853 9808692193 10073791982 15110687973 17496586074 17904075706 19617384386 26856113559 29426076579 30221375946 53712227118 55405855901 58852153158 107895614123 110811711802 166217567703 186365151667 215791228246 323686842369 332435135406 372730303334 559095455001 647373684738 1118190910002 2050016668337 4100033336674 6150050005011 12300100010022