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122330043552030 = 23541831398620553
BaseRepresentation
bin11011110100001000101110…
…110010101001000100011110
3121001010122020001210111011220
4123310020232302221010132
5112013223412122131110
61112101351324354210
734524024342454356
oct3364105662510436
9531118201714156
10122330043552030
1135a839754a1636
12118784700a5966
13533489abc3262
14222cb3cba5b66
15e22142670370
hex6f422eca911e

122330043552030 has 128 divisors (see below), whose sum is σ = 306566210280960. Its totient is φ = 31216053258240.

The previous prime is 122330043552023. The next prime is 122330043552077. The reversal of 122330043552030 is 30255340033221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122330043551982 and 122330043552000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9880234 + ... + 18500786.

It is an arithmetic number, because the mean of its divisors is an integer number (2395048517820).

Almost surely, 2122330043552030 is an apocalyptic number.

122330043552030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330043552030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153283105140480).

122330043552030 is an abundant number, since it is smaller than the sum of its proper divisors (184236166728930).

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

122330043552030 is a wasteful number, since it uses less digits than its factorization.

122330043552030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620826.

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 122330043552030 its reverse (30255340033221), we get a palindrome (152585383585251).

The spelling of 122330043552030 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-three million, five hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 139 166 205 246 249 278 410 415 417 498 615 695 830 834 1230 1245 1390 2085 2490 3403 4170 5699 6806 10209 11398 11537 17015 17097 20418 23074 28495 34030 34194 34611 51045 56990 57685 69222 85485 102090 115370 170970 173055 346110 473017 946034 1419051 2365085 2838102 4730170 7095255 8620553 14190510 17241106 25861659 43102765 51723318 86205530 129308295 258616590 353442673 706885346 715505899 1060328019 1198256867 1431011798 1767213365 2120656038 2146517697 2396513734 3534426730 3577529495 3594770601 4293035394 5301640095 5991284335 7155058990 7189541202 10603280190 10732588485 11982568670 17973853005 21465176970 29335741859 35947706010 49128531547 58671483718 88007225577 98257063094 99455319961 146678709295 147385594641 176014451154 198910639922 245642657735 293357418590 294771189282 298365959883 440036127885 491285315470 497276599805 596731919766 736927973205 880072255770 994553199610 1473855946410 1491829799415 2983659598830 4077668118401 8155336236802 12233004355203 20388340592005 24466008710406 40776681184010 61165021776015 122330043552030