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1054102214520 = 233355869166301
BaseRepresentation
bin11110101011011010110…
…00110101011101111000
310201202211012021200112000
433111231120311131320
5114232300131331040
62124125312421000
7136104430662615
oct17255530653570
93652735250460
101054102214520
11377051246483
12150360847760
137852ab97724
14390398d750c
151c646322130
hexf56d635778

1054102214520 has 128 divisors (see below), whose sum is σ = 3514293864000. Its totient is φ = 281044339200.

The previous prime is 1054102214519. The next prime is 1054102214567. The reversal of 1054102214520 is 254122014501.

It is a happy number.

1054102214520 is a `hidden beast` number, since 1 + 0 + 5 + 410 + 221 + 4 + 5 + 20 = 666.

It is a super-2 number, since 2×10541022145202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6255370 + ... + 6421670.

Almost surely, 21054102214520 is an apocalyptic number.

1054102214520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054102214520 is an abundant number, since it is smaller than the sum of its proper divisors (2460191649480).

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

1054102214520 is a wasteful number, since it uses less digits than its factorization.

1054102214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172190 (or 172180 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1054102214520 in words is "one trillion, fifty-four billion, one hundred two million, two hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 5869 11738 17607 23476 29345 35214 46952 52821 58690 70428 88035 105642 117380 140856 158463 166301 176070 211284 234760 264105 316926 332602 352140 422568 498903 528210 633852 665204 704280 792315 831505 997806 1056420 1267704 1330408 1496709 1584630 1663010 1995612 2112840 2494515 2993418 3169260 3326020 3991224 4490127 4989030 5986836 6338520 6652040 7483545 8980254 9978060 11973672 14967090 17960508 19956120 22450635 29934180 35921016 44901270 59868360 89802540 179605080 976020569 1952041138 2928061707 3904082276 4880102845 5856123414 7808164552 8784185121 9760205690 11712246828 14640308535 17568370242 19520411380 23424493656 26352555363 29280617070 35136740484 39040822760 43920925605 52705110726 58561234140 70273480968 87841851210 105410221452 117122468280 131762776815 175683702420 210820442904 263525553630 351367404840 527051107260 1054102214520