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102011303013300 = 22335241921511319
BaseRepresentation
bin10111001100011101011011…
…011110101010101110110100
3111101012012000002202221121000
4113030131123132222232310
5101332323122032411200
61000543202354323300
730326034120523002
oct2714353336525664
9441165002687530
10102011303013300
112a55a82913816a
12b536582b89530
1344bc817319165
141b295328cba72
15bbd834c43300
hex5cc75b7aabb4

102011303013300 has 144 divisors (see below), whose sum is σ = 335946166819200. Its totient is φ = 26539525958400.

The previous prime is 102011303013293. The next prime is 102011303013307. The reversal of 102011303013300 is 3310303110201.

It is a happy number.

102011303013300 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 1 + 30 + 301 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102011303013293) and next prime (102011303013307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011303013307) 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, 460644960 + ... + 460866359.

It is an arithmetic number, because the mean of its divisors is an integer number (2332959491800).

Almost surely, 2102011303013300 is an apocalyptic number.

102011303013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011303013300 is an abundant number, since it is smaller than the sum of its proper divisors (233934863805900).

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

102011303013300 is a wasteful number, since it uses less digits than its factorization.

102011303013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921511383 (or 921511370 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102011303013300 its reverse (3310303110201), we get a palindrome (105321606123501).

The spelling of 102011303013300 in words is "one hundred two trillion, eleven billion, three hundred three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 50 54 60 75 82 90 100 108 123 135 150 164 180 205 225 246 270 300 369 410 450 492 540 615 675 738 820 900 1025 1107 1230 1350 1476 1845 2050 2214 2460 2700 3075 3690 4100 4428 5535 6150 7380 9225 11070 12300 18450 22140 27675 36900 55350 110700 921511319 1843022638 2764533957 3686045276 4607556595 5529067914 8293601871 9215113190 11058135828 13822669785 16587203742 18430226380 23037782975 24880805613 27645339570 33174407484 37781964079 41468009355 46075565950 49761611226 55290679140 69113348925 75563928158 82936018710 92151131900 99523222452 113345892237 124404028065 138226697850 151127856316 165872037420 188909820395 207340046775 226691784474 248808056130 276453395700 340037676711 377819640790 414680093550 453383568948 497616112260 566729461185 622020140325 680075353422 755639281580 829360187100 944549101975 1020113030133 1133458922370 1244040280650 1360150706844 1700188383555 1889098203950 2040226060266 2266917844740 2488080561300 2833647305925 3400376767110 3778196407900 4080452120532 5100565150665 5667294611850 6800753534220 8500941917775 10201130301330 11334589223700 17001883835550 20402260602660 25502825753325 34003767671100 51005651506650 102011303013300