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102030221202 = 237132337219587
BaseRepresentation
bin101111100000101111…
…0011001111110010010
3100202100122212021011120
41133001132121332102
53132424214034302
6114512205423110
710241255366520
oct1370136317622
9322318767146
10102030221202
113a2a8444368
121793586aa96
139810308670
144d1c945310
1529c25bb9bc
hex17c1799f92

102030221202 has 128 divisors (see below), whose sum is σ = 269155160064. Its totient is φ = 25043344128.

The previous prime is 102030221201. The next prime is 102030221203. The reversal of 102030221202 is 202122030201.

It is a happy number.

102030221202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102030221201) and next prime (102030221203).

It is not an unprimeable number, because it can be changed into a prime (102030221201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354853 + ... + 574439.

It is an arithmetic number, because the mean of its divisors is an integer number (2102774688).

Almost surely, 2102030221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102030221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134577580032).

102030221202 is an abundant number, since it is smaller than the sum of its proper divisors (167124938862).

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

102030221202 is a wasteful number, since it uses less digits than its factorization.

102030221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219672.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102030221202 its reverse (202122030201), we get a palindrome (304152251403).

The spelling of 102030221202 in words is "one hundred two billion, thirty million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1443 1554 1702 1794 2093 2553 2886 3367 4186 5106 5957 6279 6734 10101 11063 11914 12558 17871 20202 22126 33189 35742 66378 77441 154882 219587 232323 439174 464646 658761 1317522 1537109 2854631 3074218 4611327 5050501 5709262 8124719 8563893 9222654 10101002 15151503 16249438 17127786 19982417 24374157 30303006 35353507 39964834 48748314 56873033 59947251 65656513 70707014 105621347 106060521 113746066 119894502 131313026 170619099 186868537 196969539 211242694 212121042 316864041 341238198 373737074 393939078 459595591 560605611 633728082 739349429 919191182 1121211222 1308079759 1378786773 1478698858 2218048287 2429290981 2616159518 2757573546 3924239277 4436096574 4858581962 7287872943 7848478554 14575745886 17005036867 34010073734 51015110601 102030221202