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102000323312120 = 2351710911631183277
BaseRepresentation
bin10111001100010011001101…
…000010011011100111111000
3111101011010122220112100002202
4113030103031002123213320
5101332133130231441440
61000534145053245332
730325165045562252
oct2714231502334770
9441133586470082
10102000323312120
112a556104404162
12b534419a93848
1344bb78767ac5c
141b28bb05c2cd2
15bbd3e0d63615
hex5cc4cd09b9f8

102000323312120 has 128 divisors (see below), whose sum is σ = 245441202494400. Its totient is φ = 38015079653376.

The previous prime is 102000323312113. The next prime is 102000323312131. The reversal of 102000323312120 is 21213323000201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102000323312092 and 102000323312101.

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, 85609922 + ... + 86793198.

Almost surely, 2102000323312120 is an apocalyptic number.

102000323312120 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 102000323312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122720601247200).

102000323312120 is an abundant number, since it is smaller than the sum of its proper divisors (143440879182280).

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

102000323312120 is a wasteful number, since it uses less digits than its factorization.

102000323312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184577 (or 1184573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102000323312120 its reverse (21213323000201), we get a palindrome (123213646312321).

The spelling of 102000323312120 in words is "one hundred two trillion, three hundred twenty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1163 1853 2180 2326 3706 4360 4652 5815 7412 9265 9304 11630 14824 18530 19771 23260 37060 39542 46520 74120 79084 98855 126767 158168 197710 253534 395420 507068 633835 790840 1014136 1183277 1267670 2155039 2366554 2535340 4310078 4733108 5070680 5916385 8620156 9466216 10775195 11832770 17240312 20115709 21550390 23665540 40231418 43100780 47331080 80462836 86201560 100578545 128977193 160925672 201157090 257954386 402314180 515908772 644885965 804628360 1031817544 1289771930 1376151151 2192612281 2579543860 2752302302 4385224562 5159087720 5504604604 6880755755 8770449124 10963061405 11009209208 13761511510 17540898248 21926122810 23394569567 27523023020 43852245620 46789139134 55046046040 87704491240 93578278268 116972847835 150000475459 187156556536 233945695670 300000950918 467891391340 600001901836 750002377295 935782782680 1200003803672 1500004754590 2550008082803 3000009509180 5100016165606 6000019018360 10200032331212 12750040414015 20400064662424 25500080828030 51000161656060 102000323312120