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101368676376 = 233211218776199
BaseRepresentation
bin101111001101000001…
…0110100000000011000
3100200122120001022021100
41132122002310000120
53130100340121001
6114322414311400
710216003350432
oct1363202640030
9320576038240
10101368676376
1139a98a7aa00
12177901b8560
139736241916
144c98b3b652
152984493586
hex179a0b4018

101368676376 has 144 divisors (see below), whose sum is σ = 301976766000. Its totient is φ = 30696462720.

The previous prime is 101368676369. The next prime is 101368676377. The reversal of 101368676376 is 673676863101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101368676377) 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, 16349325 + ... + 16355523.

It is an arithmetic number, because the mean of its divisors is an integer number (2097060875).

Almost surely, 2101368676376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101368676376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150988383000).

101368676376 is an abundant number, since it is smaller than the sum of its proper divisors (200608089624).

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

101368676376 is a wasteful number, since it uses less digits than its factorization.

101368676376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 101368676376 in words is "one hundred one billion, three hundred sixty-eight million, six hundred seventy-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 1877 2178 2904 3754 4356 5631 6199 7508 8712 11262 12398 15016 16893 18597 20647 22524 24796 33786 37194 41294 45048 49592 55791 61941 67572 68189 74388 82588 111582 123882 135144 136378 148776 165176 185823 204567 223164 227117 247764 272756 371646 409134 446328 454234 495528 545512 613701 681351 743292 750079 818268 908468 1227402 1362702 1486584 1500158 1636536 1816936 2044053 2250237 2454804 2725404 3000316 4088106 4500474 4909608 5450808 6000632 6750711 8176212 9000948 11635523 13501422 16352424 18001896 23271046 27002844 34906569 46542092 54005688 69813138 93084184 104719707 127990753 139626276 209439414 255981506 279252552 383972259 418878828 511963012 767944518 837757656 1023926024 1151916777 1407898283 1535889036 2303833554 2815796566 3071778072 4223694849 4607667108 5631593132 8447389698 9215334216 11263186264 12671084547 16894779396 25342169094 33789558792 50684338188 101368676376