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102034202032 = 24731371575059
BaseRepresentation
bin101111100000110110…
…1100101110110110000
3100202100221100111211201
41133001231211312300
53132431223431112
6114512431020544
710241334256450
oct1370155456660
9322327314751
10102034202032
113a2aa713204
121793706a754
1398110a0599
144d1d29dd60
1529c2b06257
hex17c1b65db0

102034202032 has 160 divisors (see below), whose sum is σ = 241097584640. Its totient is φ = 40904248320.

The previous prime is 102034202009. The next prime is 102034202033. The reversal of 102034202032 is 230202430201.

It is not an unprimeable number, because it can be changed into a prime (102034202033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20166319 + ... + 20171377.

It is an arithmetic number, because the mean of its divisors is an integer number (1506859904).

Almost surely, 2102034202032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120548792320).

102034202032 is an abundant number, since it is smaller than the sum of its proper divisors (139063382608).

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

102034202032 is a wasteful number, since it uses less digits than its factorization.

102034202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 102034202032 its reverse (230202430201), we get a palindrome (332236632233).

The spelling of 102034202032 in words is "one hundred two billion, thirty-four million, two hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 157 217 248 259 296 314 434 496 518 592 628 868 1036 1099 1147 1256 1736 2072 2198 2294 2512 3472 4144 4396 4588 4867 5059 5809 8029 8792 9176 9734 10118 11618 16058 17584 18352 19468 20236 23236 32116 34069 35413 38936 40472 40663 46472 64232 68138 70826 77872 80944 81326 92944 128464 136276 141652 156829 162652 180079 187183 272552 283304 313658 325304 360158 374366 545104 566608 627316 650608 720316 748732 794263 1097803 1254632 1260553 1310281 1440632 1497464 1588526 2195606 2509264 2521106 2620562 2881264 2994928 3177052 4391212 5042212 5241124 5559841 5802673 6354104 8782424 10084424 10482248 11119682 11605346 12708208 17564848 20168848 20964496 22239364 23210692 24622153 29387731 40618711 44478728 46421384 49244306 58775462 81237422 88957456 92842768 98488612 117550924 162474844 172355071 196977224 205714117 235101848 324949688 344710142 393954448 411428234 470203696 649899376 689420284 822856468 911019661 1378840568 1645712936 1822039322 2757681136 3291425872 3644078644 6377137627 7288157288 12754275254 14576314576 25508550508 51017101016 102034202032