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101422343040 = 2735161332749
BaseRepresentation
bin101111001110100111…
…1100010001110000000
3100200210022000212002120
41132131033202032000
53130203104434130
6114332012444240
710220224456134
oct1363517421600
9320708025076
10101422343040
113a0162a5517
12177a6179680
1397443b1c45
144ca1d0b3c4
152989044910
hex179d3e2380

101422343040 has 128 divisors (see below), whose sum is σ = 323494020000. Its totient is φ = 27028365312.

The previous prime is 101422342997. The next prime is 101422343041. The reversal of 101422343040 is 40343224101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101422343040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422343041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080586 + ... + 3113334.

Almost surely, 2101422343040 is an apocalyptic number.

101422343040 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 101422343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161747010000).

101422343040 is an abundant number, since it is smaller than the sum of its proper divisors (222071676960).

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

101422343040 is a wasteful number, since it uses less digits than its factorization.

101422343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384 (or 34372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101422343040 its reverse (40343224101), we get a palindrome (141765567141).

The spelling of 101422343040 in words is "one hundred one billion, four hundred twenty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1613 1920 3226 4839 6452 8065 9678 12904 16130 19356 24195 25808 32260 32749 38712 48390 51616 64520 65498 77424 96780 98247 103232 129040 130996 154848 163745 193560 196494 206464 258080 261992 309696 327490 387120 392988 491235 516160 523984 619392 654980 774240 785976 982470 1032320 1047968 1309960 1548480 1571952 1964940 2095936 2619920 3096960 3143904 3929880 4191872 5239840 6287808 7859760 10479680 12575616 15719520 20959360 31439040 52824137 62878080 105648274 158472411 211296548 264120685 316944822 422593096 528241370 633889644 792362055 845186192 1056482740 1267779288 1584724110 1690372384 2112965480 2535558576 3169448220 3380744768 4225930960 5071117152 6338896440 6761489536 8451861920 10142234304 12677792880 16903723840 20284468608 25355585760 33807447680 50711171520 101422343040