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100021010202 = 232233716673917
BaseRepresentation
bin101110100100110110…
…1110111111100011010
3100120011122011202211100
41131021231313330122
53114320334311302
6113540553212230
710140420362511
oct1351155677432
9316148152740
10100021010202
1139467286403
1217474a01076
13957cc87909
144babb6d678
152905ed9d1c
hex1749b77f1a

100021010202 has 96 divisors (see below), whose sum is σ = 232444847232. Its totient is φ = 31002314112.

The previous prime is 100021010197. The next prime is 100021010209. The reversal of 100021010202 is 202010120001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100021010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25533148 + ... + 25537064.

It is an arithmetic number, because the mean of its divisors is an integer number (2421300492).

Almost surely, 2100021010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116222423616).

100021010202 is an abundant number, since it is smaller than the sum of its proper divisors (132423837030).

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

100021010202 is a wasteful number, since it uses less digits than its factorization.

100021010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021010202 its reverse (202010120001), we get a palindrome (302031130203).

The spelling of 100021010202 in words is "one hundred billion, twenty-one million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1667 1702 2553 3334 3917 5001 5106 7659 7834 10002 11751 15003 15318 23502 30006 35253 38341 61679 70506 76682 90091 115023 123358 144929 180182 185037 230046 270273 289858 345069 370074 434787 540546 555111 690138 810819 869574 1110222 1304361 1418617 1621638 2608722 2837234 3333367 4255851 6529639 6666734 8511702 10000101 12767553 13059278 19588917 20000202 25535106 30000303 39177834 58766751 60000606 117533502 150181697 241596643 300363394 450545091 483193286 724789929 901090182 1351635273 1449579858 2174369787 2703270546 4348739574 5556722789 11113445578 16670168367 33340336734 50010505101 100021010202