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101333314140 = 223537101451937
BaseRepresentation
bin101111001011111101…
…1111010101001011100
3100200120002111201101220
41132113323322221130
53130012312023030
6114315112333340
710215063646512
oct1362773725134
9320502451356
10101333314140
1139a80017813
12177803a4250
13972bb10016
144c941744b2
15298130aa10
hex1797efaa5c

101333314140 has 96 divisors (see below), whose sum is σ = 294287563584. Its totient is φ = 26031513600.

The previous prime is 101333314129. The next prime is 101333314217. The reversal of 101333314140 is 41413333101.

It is a self number, because there is not a number n which added to its sum of digits gives 101333314140.

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, 1749 + ... + 450188.

It is an arithmetic number, because the mean of its divisors is an integer number (3065495454).

Almost surely, 2101333314140 is an apocalyptic number.

101333314140 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 101333314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147143781792).

101333314140 is an abundant number, since it is smaller than the sum of its proper divisors (192954249444).

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

101333314140 is a wasteful number, since it uses less digits than its factorization.

101333314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452087 (or 452085 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101333314140 its reverse (41413333101), we get a palindrome (142746647241).

The spelling of 101333314140 in words is "one hundred one billion, three hundred thirty-three million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 606 740 1010 1110 1212 1515 2020 2220 3030 3737 6060 7474 11211 14948 18685 22422 37370 44844 56055 74740 112110 224220 451937 903874 1355811 1807748 2259685 2711622 4519370 5423244 6779055 9038740 13558110 16721669 27116220 33443338 45645637 50165007 66886676 83608345 91291274 100330014 136936911 167216690 182582548 200660028 228228185 250825035 273873822 334433380 456456370 501650070 547747644 684684555 912912740 1003300140 1369369110 1688888569 2738738220 3377777138 5066665707 6755554276 8444442845 10133331414 16888885690 20266662828 25333328535 33777771380 50666657070 101333314140