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102012023001114 = 2327310127610501
BaseRepresentation
bin10111001100011110000110…
…011001001101000000011010
3111101012020212021120010012100
4113030132012121031000122
5101332331110342013424
61000543402034224230
730326061012362562
oct2714360631150032
9441166767503170
10102012023001114
112a560068599716
12b536744125076
1344bc900536255
141b295a0389da2
15bbd878062dc9
hex5cc78664d01a

102012023001114 has 72 divisors (see below), whose sum is σ = 226294152077916. Its totient is φ = 33206133600000.

The previous prime is 102012023001113. The next prime is 102012023001157. The reversal of 102012023001114 is 411100320210201.

It can be written as a sum of positive squares in 6 ways, for example, as 95713604588889 + 6298418412225 = 9783333^2 + 2509665^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102012023001113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9598864 + ... + 17209364.

Almost surely, 2102012023001114 is an apocalyptic number.

102012023001114 is an abundant number, since it is smaller than the sum of its proper divisors (124282129076802).

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

102012023001114 is a wasteful number, since it uses less digits than its factorization.

102012023001114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610784 (or 7610680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102012023001114 its reverse (411100320210201), we get a palindrome (513112343211315).

The spelling of 102012023001114 in words is "one hundred two trillion, twelve billion, twenty-three million, one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 73 101 146 202 219 303 438 606 657 909 1314 1818 7373 10201 14746 20402 22119 30603 44238 61206 66357 91809 132714 183618 744673 1489346 2234019 4468038 6702057 7610501 13404114 15221002 22831503 45663006 68494509 136989018 555566573 768660601 1111133146 1537321202 1666699719 2305981803 3333399438 4611963606 5000099157 6917945409 10000198314 13835890818 56112223873 77634720701 112224447746 155269441402 168336671619 232904162103 336673343238 465808324206 505010014857 698712486309 1010020029714 1397424972618 5667334611173 11334669222346 17002003833519 34004007667038 51006011500557 102012023001114