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102283700480 = 2851319331849
BaseRepresentation
bin101111101000010010…
…1010110100100000000
3100210000022211100100222
41133100211112210000
53133434111403410
6114553302402212
710250454052253
oct1372045264400
9323008740328
10102283700480
113a418534075
12179a6730368
1398509988c0
144d4448909a
1529d998b955
hex17d0956900

102283700480 has 144 divisors (see below), whose sum is σ = 265223103600. Its totient is φ = 37569429504.

The previous prime is 102283700423. The next prime is 102283700489. The reversal of 102283700480 is 84007382201.

It can be written as a sum of positive squares in 8 ways, for example, as 15499254016 + 86784446464 = 124496^2 + 294592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102283700480.

It is not an unprimeable number, because it can be changed into a prime (102283700489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3195596 + ... + 3227444.

Almost surely, 2102283700480 is an apocalyptic number.

102283700480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102283700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132611551800).

102283700480 is an abundant number, since it is smaller than the sum of its proper divisors (162939403120).

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

102283700480 is a wasteful number, since it uses less digits than its factorization.

102283700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32076 (or 32062 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 102283700480 in words is "one hundred two billion, two hundred eighty-three million, seven hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 193 208 256 260 320 386 416 520 640 772 832 965 1040 1280 1544 1664 1930 2080 2509 3088 3328 3860 4160 5018 6176 7720 8320 10036 12352 12545 15440 16640 20072 24704 25090 30880 31849 40144 49408 50180 61760 63698 80288 100360 123520 127396 159245 160576 200720 247040 254792 318490 321152 401440 414037 509584 636980 642304 802880 828074 1019168 1273960 1605760 1656148 2038336 2070185 2547920 3211520 3312296 4076672 4140370 5095840 6146857 6624592 8153344 8280740 10191680 12293714 13249184 16561480 20383360 24587428 26498368 30734285 33122960 40766720 49174856 52996736 61468570 66245920 79909141 98349712 105993472 122937140 132491840 159818282 196699424 245874280 264983680 319636564 393398848 399545705 491748560 529967360 639273128 786797696 799091410 983497120 1278546256 1573595392 1598182820 1966994240 2557092512 3196365640 3933988480 5114185024 6392731280 7867976960 10228370048 12785462560 20456740096 25570925120 51141850240 102283700480