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102101100302320 = 24573137158956751
BaseRepresentation
bin10111001101110001000011…
…110100001000111111110000
3111101111202210020012212112021
4113031301003310020333300
5101340311023134133240
61001052333054041224
730335363306061310
oct2715610364107760
9441452706185467
10102101100302320
112a594919394519
12b54ba63aa9214
1344c81281451c2
141b2da108dd440
15bc0d3d3cc54a
hex5cdc43d08ff0

102101100302320 has 160 divisors (see below), whose sum is σ = 287617618722816. Its totient is φ = 32961271680000.

The previous prime is 102101100302303. The next prime is 102101100302323. The reversal of 102101100302320 is 23203001101201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102101100302294 and 102101100302303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101100302323) 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, 78836056 + ... + 80120695.

Almost surely, 2102101100302320 is an apocalyptic number.

102101100302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101100302320 is an abundant number, since it is smaller than the sum of its proper divisors (185516518420496).

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

102101100302320 is a wasteful number, since it uses less digits than its factorization.

102101100302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158956839 (or 158956833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102101100302320 its reverse (23203001101201), we get a palindrome (125304101403521).

The spelling of 102101100302320 in words is "one hundred two trillion, one hundred one billion, one hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 370 434 496 518 560 592 620 740 868 1036 1085 1147 1240 1295 1480 1736 2072 2170 2294 2480 2590 2960 3472 4144 4340 4588 5180 5735 8029 8680 9176 10360 11470 16058 17360 18352 20720 22940 32116 40145 45880 64232 80290 91760 128464 160580 321160 642320 158956751 317913502 635827004 794783755 1112697257 1271654008 1589567510 2225394514 2543308016 3179135020 4450789028 4927659281 5563486285 5881399787 6358270040 8901578056 9855318562 11126972570 11762799574 12716540080 17803156112 19710637124 22253945140 23525599148 24638296405 29406998935 34493614967 39421274248 41169798509 44507890280 47051198296 49276592810 58813997870 68987229934 78842548496 82339597018 89015780560 94102396592 98553185620 117627995740 137974459868 164679194036 172468074835 182323393397 197106371240 205848992545 235255991480 275948919736 329358388072 344936149670 364646786794 394212742480 411697985090 470511982960 551897839472 658716776144 689872299340 729293573588 823395970180 911616966985 1276263753779 1379744598680 1458587147176 1646791940360 1823233933970 2552527507558 2759489197360 2917174294352 3293583880720 3646467867940 5105055015116 6381318768895 7292935735880 10210110030232 12762637537790 14585871471760 20420220060464 25525275075580 51050550151160 102101100302320